Question

Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?

Answer 1

Ammy is correct

Explanation:

Ammy's math partner is correct.

Applying the "power of power rule" of exponents, if we have numbers raised by another number, what is needed to be done is to simply multiply the powers.

Thus:
`(x^a)^b) = x^(a*b) = x^(ab)`

Applying this rule, the equivalent expression to
`(6^2)^4 = 6^(2*4) = 6^8`.

Therefore, Ammy's math partner is correct, while Ammy is wrong.