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1 vote
What is the simplified form of the cube root of x squared times the third root of x squared

User Nwinkler
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2 Answers

4 votes
Cubert (x^2) * cubert(x^2)=
Since they're both cube roots you can multiply the radicands.
Cube root (x^4)=
x cube root x
User Hollance
by
8.9k points
1 vote

Answer:


x\sqrt[3]{x}

Explanation:


\sqrt[3]{x^2} *\sqrt[3]{x^2}

Both terms have same cube root so we multiply the terms and put it inside the cube root

Apply exponential property


a^m * a^n = a^(m+n)


x^2* x^2 = x^4


\sqrt[3]{x^2} *\sqrt[3]{x^2}=\sqrt[3]{x^4}


\sqrt[3]{x^4}=\sqrt[3]{x^3*x^1}=x\sqrt[3]{x}

User Zoruc
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