QuestionSimplify $\sqrt[3]{x^{24}}$ for $x>0$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $\sqrt[3]{x^{24}}$ . The variable $x$ is greater than zero

STEP 2

The expression $\sqrt[]{x^{24}}$ can be rewritten as $x^{24/}$ , because the cube root of a number is the same as raising that number to the power of $\frac{1}{}$ .
$\sqrt[]{x^{24}} = x^{24/}$

STEP 3

implify the exponent by dividing24 by3.
$x^{24/3} = x^8$ So, $\sqrt[3]{x^{24}}$ simplifies to $x^8$ when $x>0$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms