could someone please help me with math?

Question

Simplify this expression. If the answer contains exponents, all exponents should be positive.

(8k^3)^-2

Answer 1

i would start the simplification here by moving the exponent to the denominator so that it becomes positive

(8k^3)^(-2)

=1 / (8k^3)^2

then you can square both terms that are inside the parentheses ... 8^2 = 64 and by the rules of exponents the exponent on the k term can be multiplied together ... 3 * 2 = 6 ... meaning the full expression here is

1 / 64k^6

Answer 2

= 1 divided by [8k^3)^2   =    reciprocal of 64k^6