Question

Simplify. Give answers using positive exponents. Leave your answer in exponential notation.
(3^6)^-9

Answer 1

let's say we take our (3^6) and substitute that for "f" another way to write f ^-9 is by putting it under 1.

1/f^9

Answer 2

3^-3 maybe

Answer 3

now that it's rewritten as 1/f^9 , we can re substitute " f " back in, so we would have

1/(3^6)^9 = 1/3^(6 * 9)

can you solve this now? :)

Answer 4

remember: \(\large (a^x)^y = a^{x*y}\)

Answer 5

where x and y are exponents.

Answer 6

Ok

Answer 7

what did you get for your answer?

Answer 8

1/3^-54

Answer 9

remember how we took (3^6) as f? and then we had ( f )^-9?

in order to make ( f )^-9 positive, we bring f AND the exponent under a 1, to make it a fraction.

so therefore we would have 1/ ( f )^9

Are you following?

Answer 10

ok 1/3^54 thank-you kindly

Answer 11

no problem :) do you understand how this works now? :)

Answer 12

Indeed I do. Many thanks again

Answer 13

Great! :D