Question

If $m=-2$ and $n=-4$, then the value of $m^m+n^{-3}$ is ___.

• A. $\frac{17}{64}$
• B. $-\frac{15}{64}$
• C. 15
• D. $\frac{15}{64}$

Answer 1

The correct option is D $\frac{15}{64}$

Given $m=-2$ and $n=-4$.
Since $a^{-m}=\frac{1}{a^m},$ we have
$m^m+n^{-3}=(-2{)}^{-2}+(-4{)}^{-3}$
$=\frac{1}{(-2{)}^2}+\frac{1}{(-4{)}^3}$
$=\frac{1}{4}-\frac{1}{64}$
$=\frac{15}{64}$