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Popular >

simplify (\sqrt[8]{16x^{12}})^6

Solution

simplify

Solution

8 x^{9}

Solution steps

Simplify

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{3} x^{6} x^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{6} x^{3} = x^{6 + 3}

= 2^{3} x^{6 + 3}

Refine

= 8 x^{9}

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{16x^{12}})^6 ?
The solution to (\sqrt[8]{16x^{12}})^6 is 8x^9