Question

Show all work to write the expression in simplified radical form:
(Assume all variables are positive)
$\sqrt[3]{192x^{5}y^{8}}$
(Cube root of 192 x to the fifth power y to the eighth power)

Answer 1

Answer:

$\sqrt[3]{192} x^{\frac{3}{5} }y^{\frac{3}{8} }$

Step-by-step explanation:

You have to simplify all of the terms individually

$\sqrt[3]{192} = 5.769$

Since that isn't a whole number, it doesn't simplify

Use the root to exponent rule for the variables

$\sqrt[3]{x^{5} } =x^{\frac{3}{5} }$

$\sqrt[3]{y^{8} } =y^{\frac{3}{8} }$

Then put them all together to get

$\sqrt[3]{192} x^{\frac{3}{5} }y^{\frac{3}{8} }$

Make sure the variables aren't under the root when you give your answer

I hope this helps!

pls mark brainliest