Question

Which equations are equivalent to the expression below ? Check all that apply
64^x
A. 8*8^x
B.8^2x
C.8^x * 8^x
D.8^2 * 8^x
E.(8 * 8)^x
F.8 * 8^2x

*= Multiply

Answer 1

$64^x=(8^2)^x=8^{2x}\to\boxed{B.}\\\\64^x=(8\cdot8)^x=8^x\cdot8^x\to\boxed{C.}\\\\64^x=(8\cdot8)^x\to\boxed{E.}$

$Used:\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n$