### Instruction: Evaluate $(-27)^{5/3}$.### Response: First let's simplify the exponent. $5/3$ is equivalent to $1 \frac{2}{3}$.
Right, so we can rewrite the expression as $(-27)^{1 \frac{2}{3}}$.
To simplify, we first want to find the integer part of the exponent, which is 1.
So we want to find $-27^1$.
Which is just -27.
Now we want to find the fractional part of the exponent, which is $\frac{2}{3}$.
So we want to find $-27^{\frac{2}{3}}$.
To do this, we can rewrite $-27$ as $-(3^3)$.
Then we can write $-(3^3)^{\frac{2}{3}}$ as $-3^2$.
Which is equal to -9.