Question

Which expression is equivalent to (7^3)^-2?

Answer 1

You multiply the powers.

Answer 2

\( \color{Black}{\Rightarrow (7^3)^{-2} = 7^{-6}}\)

Answer 3

ok the answers we can choose from are
7
1/7
1 over six 7's or
1 over seven 6's

Answer 4

\[\large (a^m)^n = a^{mn}\]

Answer 5

ok i get 7^6 but how do i get it to the correct answer
7
1/7
1 over six 7's or
1 over seven 6's

Answer 6

okay, one more thing,
\[\large a^{-b}=\frac 1 {a^b}\]
so, what's \(7^{-6}\) then?

Answer 7

@brett183 ??

Answer 8

i am thinking it is the 1 over the six 7's
but not sure

Answer 9

\[\frac{1}{7}^6\]

Answer 10

yeah, you're thinking the right way, correct-o!! @brett183

Answer 11

@TheViper Uh-oh slight mistake in your post

Answer 12

yeah

Answer 13

what

Answer 14

oh never mind

Answer 15

so i multiply the powers then put a one over the 7 with the power of 6 and that tells me how many 7's i need right

Answer 16

exactly!

Answer 17

thank you

Answer 18

i have another question do you have time

Answer 19

Explain how you would find the product of 20^12 and 20^8. Include either the exponent rule or the expanded method in your explanation. Give your answer in exponential form.

Answer 20

Hmm, use this funda:
\[\large a^m \times a^n = a^{m+n}\]

Can you use this?

Answer 21

i dont know it is a esay question. and i am taking a online class.

Answer 22

yeah so use this formula, the 'a' in your case is 20, the 'm' is 12, and the 'n' is '8',
so, \(20^{12} \times 20^8 = ??\)

just use the formula i posted above

Answer 23

ok so would i do the same for this one.
A kilobyte is 210. A megabyte is 220 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find your answer and give your answer in exponential form.

Answer 24

but subtract

Answer 25

you mean \(2^{10}\) and \(2^{20}\) right?

yeah, so you would divide, and this time, we subtract the exponents!
\[\large \frac{a^m}{a^n}= a^{m-n}\]

Answer 26

yeap thats what i mean. thank you

Answer 27

Hey please post new questions in fresh threads after 'closing' this one. Thanks :)

Answer 28

hey i have one that i got wrong but i didnt ask you this one. simplify 15^-4 over 15^5. i answered 15^1

Answer 29

sorry didnt see your post.
before i sent the question

Answer 30

umm, when it's "over", means you're dividing, so you subtract the exponents.
so, \[\large \frac{15^{-4}}{15^5} = 15^{-5-4} = 15^{-9}\]

Answer 31

lol no worries ;)

Answer 32

ok thank u

Answer 33

anytime!