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Popular >

simplify (\sqrt[3]{(x-1)^2})^2

Solution

simplify

Solution

(x - 1)^{\frac{4}{3}}

Solution steps

= ((x - 1)^{\frac{2}{3}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (x - 1)^{\frac{2}{3} \cdot 2}

\frac{2}{3} \cdot 2 = \frac{4}{3}

= (x - 1)^{\frac{4}{3}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{(x-1)^2})^2 ?
The solution to (\sqrt[3]{(x-1)^2})^2 is (x-1)^{4/3}