Question

Find the value(s) of $(5^{-3}{)}^2$.

• A. -$\frac{1}{5^6}$
• B. $\frac{1}{5^6}$
• C. $(-5{)}^{-6}$
• D. $\left(5^{-6}\right)$

Answer 1

Answer: (B), (D)

The correct options are
B $\frac{1}{5^6}$
D $\left(5^{-6}\right)$

$(5^{-3}{)}^2$
$=5^{-3\times 2}$ $\left[Using\right(a^m{)}^n=a^{mn}]$
$=5^{-6}$
$=\frac{1}{5^6}$ $\left[Using\right(a{)}^{-m}=\frac{1}{a^m}]$