Is 7 to the 8th power times 7 equivalent to 7 to the the third power times 7 to third power equivalent?

Answers

Answer 1

Answer:

They are not equivalent.

Step-by-step explanation:

Before we solve the question, we need to know that from the laws of indices:

A^x x A^y = A^(x+y).

7 to the power of 8th power means 7^8

7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.

7 to the power of 3rd power means 7^3

7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.

Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.


Related Questions

Show work and please

Answers

Equation is:
Y=mx +b
From the graph:
Y=-2x+8

4% of what is 25
I need the answer

Answers

the answer is 1 so sorry if it’s wrong

algebraic expression 5a² - 25b²​

Answers

Answer: = 5 (a-5b)(a+b)

Step-by-step explanation:

= 5a² - 25b²​

= 5 (a²-5b²)

= 5 (a-5b)(a+b)

Eight less than the sum of a and 3

Answers

Answer:

(a + 3) - 8

Step-by-step explanation:

(a + 3) - 8

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX


[tex] \sqrt{ {4 a}^{2} + {12a}^{2} } [/tex]

Answers

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

[tex] \sqrt{ {16a}^{2} } [/tex]

2) Use this rule:

[tex] \sqrt{ab} = \sqrt{a} \sqrt{b} [/tex]

[tex] \sqrt{16} \sqrt{ {a}^{2} } [/tex]

3) Since 4 × 4 is 16, the square root of 16 is 4.

[tex]4 \sqrt{ {a}^{2} } [/tex]

4) Simplify.

[tex]4a[/tex]

Therefor, the answer is 4a.

The diagram shows a solid metal cuboid.
The areas of three of the faces are marked on
the diagram.
The lengths, in cm, of the edges of the cuboid
are whole numbers.
The metal cuboid is melted and made into cubes.
Each of the cubes has sides of length 2.5 cm.
Work out the greatest number of these cubes that can be made.
You must show your working.

Answers

Answer:

6 cubes

Step-by-step explanation:

Considering the given cuboid, it can be deduced that;

length of the cuboid = 7 cm

width of the cuboid = 3 cm

height of the cuboid = 5 cm

Thus,

volume of the cuboid = length x width x height

                                    = 7 x 3 x 5

                                    = 105 cubic centimetres

The cubes has sides of length 2.5 cm.

volume of each cube = length x width x height

                                    = 2.5 x 2.5 x 2.5

                                    = 15.625 cubic centimetres

The greatest number of cubes that can be made = [tex]\frac{105}{15.625}[/tex]

                                              = 6.72

The greatest number of cubes that can be made from the cuboid is 6.

solve using substitution

y = -x - 6
4x - 2 =0

Answers

X=1/2 , y= -13/2
That the answer for the questions

Write down two facts of advice that you can give to other learners who would
want to engage in a fundraising activity.​

Answers

Focus appeals on a single person
(and use it to overcome prejudice) ...

Help people to feel their emotions,
rather than repress them. ...

Tie giving to a sense of identity and purpose. ...

Ask people to pay later (and thank them right away)....

LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points

question
(60-5.8) ÷ 5 - 3^2
explain in an essay how to do this TY!!

Answers

Answer:

(60-5.8) ÷ 5 - 3² = 1.84 (approx)

Step-by-step explanation:

(60-5.8) ÷ 5 - 3²

First simplify the numbers inside the bracket.

(60-5.8) = 54.2

Now, the equation is in the form of,

54.2 ÷ 5 - 9

Put 54.2 ÷ 5 in a bracket for easy calculation.

(54.2 ÷ 5) - 9

Now simplify the numbers inside the bracket again, 54.2 ÷ 5 = 10.84

Subtract 9 from 10.84

10.84 - 9

You will now get the answer as,

1.84 (approx)

Tjtkjggj plz help
Ckdkdfkkf​

Answers

Answer:

x=5

Step-by-step explanation:

3x-1.5=13.5

+1.5 +1.5

3x=15

÷3 ÷3

x=5

39. Which of the following is a correct conclusion based on the passage below?
Mrs. Cole went to the supermarket today because she forgot to get milk 2 days ago, when she went shop
Cole also purchased soda and chips for her party this weekend. When Mrs. Cole got home, she realized s
Mrs. Cole usually only goes shopping once a week.
Today is Tuesday
Mrs. Cole is having a party on Saturday,
0 Mrs. Cole went right back to to store to get napkins,

Answers

Answer:

Today is tuesday

Step-by-step explanation:

Answer:

Today is Tuesday.

Step-by-step explanation:

Logical conclusions must be based on facts.

Please help me find the answer.

Answers

Answer:

I think 3/6

Step-by-step explanation:

because there is 6 cards and 3 of them are odd but im not postive

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=36°, and HF = 5.3 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer: 6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

The radius of a circular plate is 7 inches.
Find it's area.( use π= 3.14 )
Round to the nearest hundredth

Answers

Answer:

153.94 in²

Step-by-step explanation:

The equation for Area is

Area = πr²

Plugging in the value for the radius into r, it will be

(note, r means radius)

Area = π(7)²= 49π ≈ 153.94

The units is -> in² so add that in the end

In the first quadrant, you start at (3,5)
and move 3 units right and 2 units down
What point will you end up on?

Answers

Answer:

(6,3)

Step-by-step explanation:

3 right is an + to the left side or x of the pairs and the 2 down is a - 2 to the right side or y of the pair

Answer:

Check pdf

Step-by-step explanation:

Find the area of the shape shown below 5 3.5 2 2 2 2

Answers

Answer:

3.3

Step-by-step explanation:

2,33

Next Question I only have 40 minutes to complete the rest of these. Help Asap Please. Again I will award 100pts and Brainly to whoever can get me the slope intercept form to these two cordinate points. This is timed. And I risk failing the class if I don't get these questions answered. Plz help.

Answers

Answer:

y=-2x+1

Step-by-step explanation:

First, you calculate the slope, which is rise over run: -9+5 / 5-3 = -2.  Then, find b by substituting the coordinates (of either one point) into the slope-intercept formula, y = mx + b.  

Answer:

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b, where m=slope and b= y intercept

The slope of a line is defined as

m=(y2-y1)/(x2-x1), in this case we have points (3,-5) and (5,-9)

m=(-9-(-5))/(5-3)

m=-4/2

m=-2, so our line is now

y=-2x+b, using point (3,-5) we can now solve for b

-5=-2(3)+b

-5=-6+b

1=b so the completed line is

y=-2x+1

Help please can y’all please answer 4-6 please

Answers

Answer:

4. the circumference = approx. 21.99

5. 30 feet

6. 150.8 feet

Step-by-step explanation:

4: 3.5*π*2= 21.99

5:. 1800÷60= 30

6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times

hope this helps <3

x²-x-2=(x-2)
its quadratic equation

yow guys help ur og right now
dont run away ​

Answers

Answer:

ig its -2 or 1

Step-by-step explanation:

Answer:

parabola

Step-by-step explanation:

for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

The first term is 5 and the common difference is 9-5=4, so the n-th term is ...

  an = a1 +d(n -1)

  an = 5 +4(n -1) = 4n +1

Then the term number for the term 129 is ...

  129 = 4n +1 . . . . . put the given value in the formula

  128 = 4n  . . . . . . . subtract 1

  32 = n . . . . . . . . . .divide by 4

The 32nd term is 129.

what is the mean of these four numbers 531, 804, 782, 647

Answers

Answer:

691

Step-by-step explanation:

It is trigonometry. Please find the dimensions of the box. Thanks.

Answers

Answer:

Step-by-step explanation:

how to find 3 1/4 ÷ 5​

Answers

Answer:

3/20

Step-by-step explanation:

3 x 1/4 x 1/5 = 3/20

Help Me. Four cards are placed into a bag and two are drawn, 1 at at time, without putting the first card back into the bag. The four cards are 2, 3, 5, and 7. What is the probability of pulling a 3 and then pulling a 7?

Answers

Answer:

Step-by-step explanation:

The picture shows the letter H that is on a store sign.
3 in.
9 in.
3 in.
3 in.
3 in.
3 in.
What is the area of this letter H? Enter the answer in the box.
square inches

Answers

Answer:

[tex]63in^2[/tex]

Step-by-step explanation:

To find the area of the larger, complex figure, divide the shape up into smaller figures, solve for the area of each smaller part and then add up the answers to find the total area. The figure can be divided into two rectangles and a square.

The two rectangles are congruent, their dimensions are the following,

9in x  3in

The area of the square is the following,

3in x 3in

To find the area of both of these figures, one uses the formula,

[tex](length)(width)[/tex]

Substitute in each dimension and solve for the total area by adding up the results,

[tex]((9)(3))+((9)(3))+((3)(3))\\\\=(27)+(27)+(9)\\\\= 63[/tex]

A four pack of batteries costs $3.45. A six pack of batteries costs $4.80. Which is a better deal? Unit price.

Answers

Answer:

6 for $4.80

Step-by-step explanation:

3.45 / 4 = unit rate of $0.8625

4.80 / 6 = unit rate of $0.80

Please write the function(x) from the given rules:a. Twice the input value plus three. B. The input value minus five. C. To get the output, multiply the input by two, then add four.

Answers

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

              A) Twice the input value plus three.

              B) The input value minus five.

              C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

A)

f(x) = 2x + 3

B)

f(x) = x - 5

C)

f(x) = 2x + 4

Can someone please help me with math.

Answers

Answer:

13.C

14.C

Step-by-step explanation:

Hello There!

For 13

The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.

The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied

Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test

Thus the answer is C

For 14

The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially

The question is asking "which graph best represents a proportional relationship."

If a relation is proportional it would have  a straight line and it would go through the origin (0,0)

Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer

David has earned the following test
grades: 89, 96, 99, 85. What is the
grade David has to earn on his 5th test to maintain a test
average of 90?

Answers

Answer:

81

Step-by-step explanation:

Required average= 90

let the required grade be x

Average= Sum of n numbers

90= 89+96+99+85+x divide by 5

450= 369+x

x = 450-369

x=81

2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?

Answers

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

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