### Home > PC > Chapter 2 > Lesson 2.1.1 > Problem2-12

2-12.

Salvador wants to evaluate $81^{3/4}$ in a different way. He knows that $3^4=81$, so he substitutes and uses the power property for exponents: $81^{3/4}=(3^4)^{3/4}=3^3=27$. Use Salvador’s technique to evaluate each of these

1. $81^{-3/4}$

$\frac{1}{81^{3/4}}$

1. $27^{2/3}$

$( 3 ^ { 3 } ) ^ { 2 / 3 } = 3 ^ { 2 } = ?$

1. $\left(\frac{125}{64}\right)^{2/3}$

$( ( \frac { 5 } { 4 } ) ^ { 3 } ) ^ { 2 / 3 }$

1. $\left(\frac{1}{9}\right)^{-1/2}$
Hint: Express $\frac{1}{9}$ as power of $3$.

$9^{1/2}$