CPM Homework Help : A2C Problem 4-68

Rewrite each of the following expressions so that your answer has no negative or fractional exponents. Homework Help ✎
1. 16^5/4
2. (x⁵y⁴ )^1/2
3. (x²y⁻¹)(x⁻³y)⁰

Step 1(a):

Rewrite the expression:

$(16^{\frac{1}{4}})^5=(\sqrt[4]{16})^5$

Step 2(a):

First find the fourth root of 16.

$\sqrt[4]{16}=2$

Step 3(a):

Now raise the 2 to the 5^th power.

2⁵ = 32

Answer (a):

Hint (b):

$\text{Remember that a number raised to the }\frac{1}{2}\text{ power}$

$\text{is the square root of that number.}$

Answer (b):

$\textit{x}^{2}\textit{y}^{2}\sqrt{\textit{x}}$

Hint (c):

Remember that any number to the 0 power is 1. Remember to rewrite it without negative exponents.

(x²y⁻¹)(1)