### Home > CCA2 > Chapter 2 > Lesson 2.1.3 > Problem2-40

2-40.

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

1. $64^{1/3}$

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

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

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2. $(4x^2y^5)^{−2}$

Recall the Laws of Exponents.

$\text{Remember that }n^{-2}=\frac{1}{n^2}.$

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

3. $(2x^2·y^{−3})(3x^{−1}y^5)$

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