When multiplying exponential terms with the same base, which best explains how to simplify the expression?

A.Add the exponents.
C.Subtract the exponents.
B.Multiply the exponents
D.Divide the exponents.

Answers

Answer 1

Answer: A

Step-by-step explanation:

Answer 2

Answer:

A. Add the exponents.

Step-by-step explanation:

The rule for same base multiplication is:

[tex] a^m \times a^n = a^{m + n} [/tex]

Add the exponents.

Answer: A. Add the exponents.


Related Questions

$3840 with a discount of 10%​

Answers

Answer: 384

Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.

Answer:

$3840

Step-by-step explanation:

10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price,                 3840-384=3456. So 3456 is the final price after including the 10% discount.

The circumference of the circular table on Beverly's porch is 72n inches. What is the radius of the table?

Answers

Answer:

11.46 inches

Step-by-step explanation:

C = 2πr

72 = 2(3.14)r

r = 72/6.28

r = 11.46

Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?

Answers

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

help me with this please

Answers

Step-by-step explanation:

y = -4x + 17

=> (4,1)

x=4 --> y = -4(4)+17=-16+17=1

(4,1) matched

=> (2,9)

x=2 --> y=-4(2)+17=-8+17=9

(2,9) matched

Step-by-step explanation

A(4,1)
B(2,9)

m= Y2-y1/x2-X1
= 9-1/2-4 = 8/-2=-4

y=mx+b m=decline

Y=-4x+b —> replacing by point A(4,1)
1=-4x4+b
1=-16+b
b=17

Y=-4x+17 ✔️

If the volume of a rectangular
prism is 315 cubic meters and
the area of the base is 45
square meters, then what
is the height of the prism?

Answers

7

because the answer is 7

What is the slim of the fractions? Use the number line to help find the answer.
3/5 + (-7/5)?

Answers

- 4/5 yW that’s the answer

a.) what was the scale factor of the dilation

b.) Based on the scale factor, how many copies of ABCD, including the original, should fit inside A’ B’C’D?

Answers

Answer:

A. The scale factor is three.

B. Nine copies of ABCD could fit in A'B'C'D'.

Step-by-step explanation:

Hope this helps! Have a nice day! Let me know if you need an explanation!

Solve the expression below: 3(x-3) + 2x(4x+6)=

Answers

Answer:
8x^2 + 15x -9

Explanation:
Distribute and combine
8x^2+15x-9 hope this helps

Find the volume of the figure. Use 3.14 for Pi​

Answers

Answer:

The answer would be 17

Step-by-step explanation:

The answer would be 17 because if you add 12 plus 5 That would be your answer

please help and show work

Answers

9514 1404 393

Answer:

  5. x° = 38°; b° = 90°

  6. m∠TSU = 110°

Step-by-step explanation:

The relationship relevant to these problems is that an inscribed angle is half the measure of the arc it intercepts. That is also true of the angle formed by a chord and a tangent.

__

5. Angle x° intercepts an arc marked 76°, so is half its measure: 76°/2 = 38°

  x° = 38°

Arc b° is intercepted by an inscribed angle of 45°, so is twice that measure.

  b° = 90°

__

6. Long arc SU is the remaining portion of the circle after short arc SVU is subtracted:

  long arc SU = 360° -140° = 220°

Angle TSU is half that measure: 220°/2 = 110°.

  m∠TSU = 110°

Plssss help me cuhhh

Answers

Answer:

i believe your answer is C. Rectangle

Step-by-step explanation:

I hope this helps! :D

maybe consider brainliest?

HELP PLEASE! I NEEDED IT! T0T

Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.​

Answers

Answer: The other two sides are 4 inches each

Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.

We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.

Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.

So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.

You want to make a retangular prism out of carboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot. What is the surface area of the rectangular prism? How much will it cost to make teh retangular prosm out of cardboard?

Answers

Answer:

a) 24 square feet

b) $12

Step-by-step explanation:

You want to make a retangular prism out of cardboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot.

a) What is the surface area of the rectangular prism?

Length × Width × Height

3 feet × 4 feet × 2 feet

= 24 square feet

b).How much will it cost to make the rectangular prism out of cardboard?

1 ft² = $0.5

24 ft² = x

Cross Multiply

x = 24ft² × $0.5/1 ft²

x = $12

It would cost $12 to make the rectangular prism out of the cardboard. You do not have sufficient money to make it

URGENT PLEASE HELP ME !!!!

Answers

Step-by-step explanation:

2x + (x + 96) = 180

3x + 96 = 180

3x = 84

x = 28

Therefore,

angle 1 = 2x = 58°

angle 2 = x + 96 = 124°

please help me... :(

Answers

For parts 1 and 2, you'll need to find a way to gather these data points, either by measuring them yourself or by asking your friends. Another option is to search out "Census at School", with quotes, and it will lead you to spreadsheets of data on this sort of thing (that some researchers have already done previously).

In short, the answers to parts 1 and 2 will vary depending on what the actual data values you collect. So I'm not much help here in this case.

============================================================

Part 3

Part A

In this case, we have x = 17 as the length of the person's forearm in inches. We'll plug it into the given regression equation to find an estimate of y

y = 0.860x + 3.302

y = 0.860*17 + 3.302

y = 14.62 + 3.302

y = 17.922

The person's foot is approximately 17.922 inches long

Rounding to the nearest whole number, this is approximately 18 inches

Note: 18 inches = 12 in + 6 in = 1 ft, 6 in = 1.5 ft

------------------

Part B

Unfortunately I can't help with this part either because I don't know what data set you're working with. So it all depends on how you do parts 1 and 2.  You shouldn't get the same exact values, but you should get close to the average.

If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT

Answers

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

what is 34 + 3 ⋅ 5 = ____.
please please help 35 points

Answers

Answer:

49

Step-by-step explanation:

34 + 3 * 5

34 + 15

49

have a good day! :)

Answer:

49

Step-by-step explanation:

34+15

Please help. Find the two missing sides and write your answer as in simplified radical form.

Answers

Answer:

x and y =   5√2.

Step-by-step explanation:

This is a 45:45:90 triangle so length of x = length of y.

In this triangle the ratio of the sides is 1:1:√2

Finding length of x and y:

1/√2 = x/10

√2x = 10

x = 10/√2

=  10√2/2

=  5√2.

The length of 12cm and 5 cm missing one

Answers

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Answer in the 10-1 quiz intro to circles, central angles, arcs, and chord

Answers

Answer:

1.5

Step-by-step explanation:

The answers are given in the solution below.

What is a circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is topics related to circle and its part we need to answer the question asked,

1) to 7) Given is a circle T,

a) Radius = TS, QT and RT all are the radius

b) Diameter = QS

c) Chord = PS

d) Central angle = ∠ RTQ

e) Minor arc = arc QR

f) Major arc = arc QSR

g) Semicircle = QPS

8) to 9) :-

a) Circle with radius 18 in :-

Circumference = 2π×radius = 2×3.14×18 = 113.04 in

Area = π·radius² = 3.14×18² = 1017.36 in²

b) Circle with diameter 25 m :-

Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m

Area = π·radius² = 3.14×12.5² = 490.625 m²

10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,

Area = π·radius² = 201.06 cm²

radius² = 201.06 / 3.14

= 64

radius = 8 cm

Diameter = 16 cm

Circumference = 2π×radius = 2×3.14×8 = 50.24 cm

11) :-

Circle with radius P :-

The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°

a) ∠ KPL = 90°

So, by linear pair sum, ∠ NPL = 90°

Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°

∠ NPM = 27°

By using vertical angles rule, ∠ JPK = ∠ NPM = 27°

Therefore, arc JK = 27°

b) arc NJ = 180° - 27° = 153°

c) arc JL = 90°+27° = 117°

d) arc KNM = 360°-(90°+63°) = 207°

e) arc MJL = 360°-63° = 297°

f) arc JLK = 360°-27° = 333°

12) :-

arc CD + arc AD = 180°

Therefore,

19x-49°+5x+37° = 180°

24x-12 = 180°

24x = 192°

x = 8

Therefore,

arc CD = 5x+37 = 74°

13) :-

Length of an arc = central angle / 360° × 2π×radius

= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm

14) :-

= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft

Learn more about circles, click;

https://brainly.com/question/29142813

#SPJ2

SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG

Answers

Answer:

I believe the answer is 58.1 degrees

Step-by-step explanation:

acrsin 45/53=58.1

45/53 is the sin of P

is (-7,2) a point on the line?​

Answers

Answer:

what line i swear if u tell me i can answer just comment

Step-by-step explanation:

A business wants to try out two new shampoo brands (brand A and brand B) on customers who use the business's existing shampoo brand. The best method for this study is
.

Answers

Answer:

B) Experiment

Step-by-step explanation:

Answer:

Experiment

Step-by-step explanation:

PLATO

Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=

Answers

Answer: 303

Step-by-step explanation:

Pls answer quick I need this for an assignment

Answers

Answer:

[tex]4(x+3)=4(x-3)[/tex]

It is equivalent to an equation that has the same variable terms but different constant terms on each side of the equal sign.

what is 2,36+5,4-3,47 equal to​

Answers

Answer:

4.29

Step-by-step explanation:

Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?

Answers

Answer:

The distance between them is 5km

Step-by-step explanation:

Given

[tex]Car\ A =4km[/tex]

[tex]Car\ B =3km[/tex]

Required

Distance between them

The scenario can be represented with the attached image

The distance between them is then calculated using Pythagoras theorem

[tex]d^2 = 4^2 +3^2[/tex]

[tex]d^2 = 16 +9[/tex]

[tex]d^2 = 25[/tex]

Take square roots of both sides

[tex]d = \sqrt{25[/tex]

[tex]d = 5[/tex]

what is the variable if 13 and p

Answers

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?

Answers

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

hope this helps

8 less that the product of 2 and a number is 16. find the number

Answers

Answer:

x=12

Step-by-step explanation:

2x-8=16(add a to both sides)

2x=24(divide by 2)

x=12

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