### Home > PC > Chapter 2 > Lesson 2.3.2 > Problem2-91

2-91.

Evaluate each expression.

When possible, take the root first and then the power.

1. $100 ^ { \frac { 3 } { 2 } }$

1. $27^{\left(-\frac{2}{3}\right)}$

Flip the fraction first to $\frac{1}{27}$ eliminating the negative exponent.

1. $\left(\frac{125}{27}\right)^{\frac{2}{3}}$

1. $\left(\frac{a^6}{27}\right)^{\left(-\frac{2}{3}\right)}$

$\Big(\frac{27}{a^6}\Big)^{2/3}$