Answer
$-3$
Work Step by Step
We want to break down this problem a little to be able to work with it. The number $-243$ can be broken down into a small base raised to a power: $(-3)^5$. Let's rewrite this number:
$(-3^5)^{1/5}$
Raising a power to a power means we can multiply the two powers or exponents together:
$-3^{(5)(1/5)}$
Multiply to simplify:
$-3^{(5/5)}$
Reduce the fraction in the exponent by dividing both numerator and denominator by $5$, the greatest common factor:
$-3^{(1)}$
When we raise a number to the power of $1$, then the number can just be written as the base without an exponent:
$-3$