### Home > PC > Chapter 1 > Lesson 1.3.1 > Problem1-102

1-102.

Add the rules from the Math Notes box to your Tool Kit. It does not matter how you “break up” the fractional exponent. To evaluate fractional exponents without a calculator, make the numbers small as soon as you can by taking the root first and then raising to the power.

Evaluate.

1. $64^{2/3} = (64^{1/3})^{2} = ?$

Take the cube root of $64$ first. Then square your answer.

1. $125^{4/3} = \left(125^{1/3}\right)^{4} = ?$

1. $81^{3/4} = ?$
$27$
1. $(\frac{27}{8})^{-2/3}=?$
$\frac{4}{9}$