Question

If $x=-3$ and $y=2$, what is the value of $x^x$+$y^y$ ?

• A. $\frac{107}{27}$
• B. -23
• C. 31
• D. $\frac{-107}{27}$

Answer 1

The correct option is A $\frac{107}{27}$

Given that $x=-3$ and $y=2$,
Then, $x^x=(-3{)}^{-3}=\frac{1}{(-3{)}^3}=\frac{1}{-27}=-\frac{1}{27}$ and $y^y=2^2=4$
$⟹$ $x^x+y^y=-\frac{1}{27}+4=\frac{107}{27}$