Question

Simplify the expression (4^-5(64)^3)^2, expressing the answer as a power of 4 ??????????????????????????????

Answer 1

Is this the expression?

\( (4^{-5}(64)^3 )^2 \)

Answer 2

yes

Answer 3

Hint: \(64 = 4^3\)

Answer 4

4^8 power?

Answer 5

Substitute \(4^3\) for \(64\):

\( (4^{-5}(4^3)^3)^2 \)

Answer 6

\( (4^{-5} (4^9) )^2 \)
\(= 4^{-10} 4^{18} \)
\( = 4^8 \)

You are correct.

Answer 7

thanks :)