Question

now its time to practice on your own
simplify.
$left(v^{4}w^{-2}
ight)^{\frac{1}{2}}$
use positive exponents only. enter your answer in the box.
if you want to see more instruction and examples, use the online reference guide summit algebra 1, your notebook, and other resources to help you.

Explanation:

Step1: Apply power of a product rule

$$(v^4 w^{-2})^{\frac{1}{2}} = (v^4)^{\frac{1}{2}} \cdot (w^{-2})^{\frac{1}{2}}$$

Step2: Simplify each exponent

$$(v^4)^{\frac{1}{2}} = v^{4 \cdot \frac{1}{2}} = v^2$$
$$(w^{-2})^{\frac{1}{2}} = w^{-2 \cdot \frac{1}{2}} = w^{-1}$$

Step3: Convert to positive exponents

$$w^{-1} = \frac{1}{w}$$

Answer:

$v^2 \frac{1}{w}$ or $\frac{v^2}{w}$