What is (\sqrt[10]{(x-2)^7})^2 ?

The solution to (\sqrt[10]{(x-2)^7})^2 is (x-2)^{7/5}

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simplify (\sqrt[10]{(x-2)^7})^2

simplify

(x - 2)^{\frac{7}{5}}

Solution steps

= ((x - 2)^{\frac{7}{10}})^{2}

Apply exponent rule:

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

= (x - 2)^{\frac{7}{10} \cdot 2}

\frac{7}{10} \cdot 2 = \frac{7}{5}

= (x - 2)^{\frac{7}{5}}

3.824499831 (1 0^{- 3})

(e^{\frac{3 π}{4}})^{17}

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6.63 x 1 0^{- 34}

2 x e^{- x^{2}} (1 - x^{2})

What is (\sqrt[10]{(x-2)^7})^2 ?
The solution to (\sqrt[10]{(x-2)^7})^2 is (x-2)^{7/5}