Question

Which of the following is equal to the expression below?
(5^-6)^2
a-5^4
b-1/5^4
c-1/5^12
d- -5^12

Answer 1

\[\huge (x^m)^n \implies x^{mn}\]

Answer 2

so it would be d?

Answer 3

yes

Answer 4

D is the answer!

Answer 5

\(\bf (5^{-6})^2
\\ \quad \\
(a^n)^m\implies a^{n\cdot m}
\\ \quad \\
a^{-\frac{{\color{blue} n}}{{\color{red} m}}} =
\cfrac{1}{a^{\frac{{\color{blue} n}}{{\color{red} m}}}}\)

Answer 6

Since \[\huge \frac{ 1 }{ x^n } \implies x^{-n}\]

Answer 7

\[\huge (5^{-6})^2 = 5^{-12} = \frac{ 1 }{ 5^{12} }\]