### Home > A2C > Chapter 4 > Lesson 4.1.3 > Problem4-44

4-44.

Simplify each of the following expressions. Be sure that your answer has no negative or fractional exponents.

1. $64^{1/3}$

What number, raised to the power of $3$, is $64$?

Another way to write it is $\sqrt[3]{64}.$

$4$

1. $(4x^2y^5)^{−2}$

Recall the Laws of Exponents.

Remember that $n^{-2}=\frac{1}{n^2}.$

$\frac { 1 } { 16 x ^ { 4 } y ^ { 10 } }$

1. $(2x^2·y^{−3})(3x^{−1}y^5)$

$\left(2\cdot3\right)\left(x^2\cdot x^{-1}\right)\left(y^{-3}\cdot y^5\right)$