Diego was trying to write 2^3 · 2^2 with a single exponent and wrote 2^3·2^2 = 2^3*2 = 2^6 . Explain to Diego what his mistake was and what the answer should be.

Answers

Answer 1

Answer:

2^3·2^2 = 2^3+2 = 2^5  

Step-by-step explanation:

Diego was trying to write 2^3 · 2^2

He wrote  2^3·2^2 = 2^3*2 = 2^6  

But this is wrong because when bases are same exponents are added.

This is the law of exponents.

The correct form would be

2^3·2^2 = 2^3+2 = 2^5  

For understanding it better we can write it like this

2^3·2^2 =

There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.


Related Questions

Help please how do I find x and y

Answers

Answer:

Option 3

Step-by-step explanation:

tan33°=x/7

x=4.5

4.5^2+7^2=y^2

20.25+49=y^2

y=√69.25

y=8.3

Help please. Find the area of this circle

Answers

Answer:

8

Step-by-step explanation:

Find the area of the figure.
4 in.
-6 in.
6 in.
10 in.

Answers

Answer:

68 in

Step-by-step explanation:

Find area of the rectangle - 6 x 10 = 60

Find area of the triangle (Formula - 1/2(base)(height)) - 1/2(4)(6) = 8

Add them - 60 + 8 = 68

true or false the values [x] and [-x] are always equal

Answers

Answer:

If you mean |x| and |-x| yes they are equal.

Step-by-step explanation:

Brackets do not exactly specify the meaning of absolute value.

On most keyboards, above the enter button on the main keyboard part (not the keypad one) there is a back slash symbol \ and if you hold shift, there might be another symbol | which more accurately represents absolute value,

If you aren't talking about the absolute value, then no.

pls answer due in a few

Answers

Answer:

Step-by-step explanation:

2x² + 7x + 3 = 0

a = 2 , b = 7 , c = 3

D = b² - 4ac = 7² - 4(2)(3) = 49 - 24 = 25 = 5²

Given equation has 2 real solutions (C)

the answer is c (2 real solution)

a. Find the mean, median, and mode of 12, 9, 17, 15, 10.
mean:
median:

Answers

Mean= 12.6 median= 12

Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

Answers

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

find equation so EASY PLZ HELPPP URGENT WILL GIVE BRAINESD MARK 11+ POINTS

Answers

Answer:

y= -4x+4

Step-by-step explanation:

there you go!!!

Answer:

m= -4 would be the equation

Step-by-step explanation:

If the radius of a sphere is 6cm, then it’s volume is____

A. 288pi cm^3
B. 576pi cm^3
C. 72pi cm^3
D. 36pi cm^3

Answers

Answer:

[tex]A. \: 288\pi( {cm}^{3} )[/tex]

Step-by-step explanation:

Hint:

Formula = [tex] \frac{4}{3} \pi {r}^{3} [/tex]Radius = 6 cm

Simplify:

[tex] \frac{4}{3} \pi (radius {)}^{3} [/tex][tex] \frac{4}{3} \pi \times {6}^{3} [/tex][tex] \frac{4\pi}{3} \times 216[/tex][tex]4\pi = \frac{216}{3} [/tex]

[tex]4\pi \times 72[/tex]

[tex]288\pi( {cm}^{2} )[/tex]

Hope it is helpful....

You want to fill up a jar with lemonade.
Is this the characteristic of total surface area or volume?

Answers

volume because of weight and surface

super urgent will give u 5 rating and thansk if u answer
A jar contains 12 oatmeal cookies, 13 sugar cookies and 5 chocolate chip cookies. The percent of cookies that are oatmeal is ?

Answers

Answer:

40%

Step-by-step explanation:

I added all the cookie numbers together to get 30 then I found the percentage of 12 in 30 which is equal to 40 percent

The longest sides of a right triangle is called the?

Answers

Answer:

hypotenuse

Step-by-step explanation:

Answer:

HYPOTENUSE

Step-by-step explanation:

No need to explain

°^°

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

(x + p) (x + p) = x² + 2px + p²

What makes a right trapezoid unique from all the other trapezoids

Answers

Answer:

A right trapezoid is a trapezoid in which one of the sides is perpendicular to the two bases: In this special case, if you know the length of the perpendicular side, that's the same as the altitude of the trapezoid.

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

Wich one is larger 0.83 or 83/100

Answers

Answer: they are the same just the fraction and decimal are not the same but your answer is the same or =

Step-by-step explanation:

Answer:

They are all the same

Step-by-step explanation:

0.83=83/100 ;83/100 is a fraction whereas 0.83 is a decimal

Replace variables with values and
evaluate using order of operations:
D = WT2
W = 70
T = 4

Answers

Answer:

742

Step-by-step explanation:

W+T =74

mark it as the brainliest

Help I need help!!! please!!!

Answers

[tex]a.(x - 4)(x - 9) = x {}^{2} - 9x - 4x - 36 = x {}^{2} - 3x - 36[/tex]

A standard American deck of cards contains 52 cards in four “suits”:
♣ clubs
♦ diamonds
♥ hearts
♠ spades
Each card also has a “rank”. There are 13 ranks: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), A(ace). Every suit-rank combination occurs in the deck, so a typical card might be called “the 7 of clubs” or “the queen of hearts”. Suppose we shuffle a deck (meaning that we put the cards in random order), then we draw a card
off the top. What is the probability that this card has an even number on it? (Jacks, queens, kings, and aces do not have numbers on them.)

I need the answer quickly pls

Answers

Answer:

5/13

Step-by-step explanation:

We can first start by finding the number of even numbers in one suit and then multiply by 4. The even numbers are:

2, 4, 6, 8, 10

There are 5, and since there are 4 suits, there is a total of 20 even cards.

Probability is equal to the amount of desirable outcomes over the total number of outcomes. The desirable outcomes are when we pull out an even number, and as we calculated earlier, there are 20 of those. There are 52 total cards, so that is the number of total outcomes. We get the expression:

20 / 52 which simplifies to 5/13

What is mZPQR in radians?

Answers

Answer:

7pi/20 radians

Step-by-step explanation:

63         pi

------ x---------- =  63pi/180

1           180

63pi/180 simplified is 7pi/20 radians.

Select the correct text in the passage.
In this excerpt from A Christmas Carol by Charles Dickens, which sentence indicates that Scrooge formed relationships primarily for selfish
reasons?
"I don't mind going if a lunch is provided," observed the gentleman with the excrescence on his nose. "But I must be fed, if I make one."
Another laugh.
"Well, I am the most disinterested among you, after all," said the first speaker, "for I never wear black gloves, and I never eat lunch. But I'll offer
to go, if anybody else will. When I come to think of it, I'm not at all sure that I wasn't his most particular friend; for we used to stop and speak
whenever we met. Bye, byel
Speakers and listeners strolled away, and mixed with other groups. Scrooge knew the men, and looked towards the Spirit for an explanation.
The Phantom glided on into a street. Its finger pointed to two persons meeting. Scrooge listened again, thinking that the explanation might lie
here.
He knew these men, also, perfectly. They were men of business: very wealthy, and of great importance. He had made a point always of standing
well in their esteem: in a business point of view, that is strictly in a business point of view.

Answers

Answer: it's the last

Step-by-step explanation:


1. Find six rational numbers between 2/7 and 5/2​

Answers

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

LCM of 7 & 2 = 14

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

5/146/147/148/149/1410/14

. In which of the problems below would applying the multiplicative inverse be the best first step in determining a solution to the equation?​

Answers

Answer:

B

Step-by-step explanation:

In The rest of the problems, you add or subtract first.

What is the length of KL?
A 24
B 37
C 33
D 12

Answers

Answer: 37

Step-by-step explanation

Total perimeter = (4x + 1) + (x + 3) + (x + 3) + (4x + 1)
= 10x + 8

10x + 8 = 98
This is because the perimeter of this rectangle is 98 so I have made it equal to the algebraic perimeter.

Now, we can solve the equation to get a value for x.

10x + 8 = 98
10x = 90
x = 9

Now, we substitute x into 4x + 1
4(9) + 1 = 37

Ameer uses \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction of a bottle of shampoo to give each of his dogs a bath. He has 555 dogs all together.

Answers

Answer:

138 3/8

Step-by-step explanation:

total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles

please answer accurately with a full explanation and please don't do short answers thank u, and if u spam this question u will be reported. please answer with a proper answer, not a short one thank u so much

Answers

Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.

Henry is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $26,500. His family has promised to contribute $13,450 each year he is in school. What is the minimum amount of money Henry must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?

a
$501.32
b
$362.50
c
$294.38
d
$482.35

Answers

option b) 362.50
subtract the amount his parents are giving from the original cost of tuition and the divide by the number of months he had to save

Abby and Bill share a 20-ounce bucket of clay. By the end of the week, Abby has used

1/10

of the bucket, and Bill has used

2/5

of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer:

A little brain/willpower.....Im sure you can figure it out!!!

HELP ASAP PLEASEE!!
Simplify this expression.

5^6 x 5^-2 over 5^-7

a
5^1
b
5^11
c
5^-3
d
5^-19

Answers

Answer:

5^6 × 5^(-2) × 5^(-7)

= 5^{6+(-2)+(-7)}

= 5^{6-2-7}

= 5^(-3)

Option c 5^-3

What is the slope of the equation: y = -3x + 7

Answers

Step-by-step explanation:

tan‐¹ –3 I guess

Correct me if I am wrong

Answer:

-3

Step-by-step explanation:

in y=mx+b, m is the slope. There for -3 is the slope.  

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