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Popular >

simplify (\sqrt[3]{5x})^6

Solution

simplify

Solution

25 x^{2}

Solution steps

Rewrite

6

as

3 \cdot 2

Apply exponent rule:

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

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

= (5 x)^{2}

Apply exponent rule:

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

(5 x)^{2} = 5^{2} x^{2}

= 5^{2} x^{2}

5^{2} = 25

= 25 x^{2}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{5x})^6 ?
The solution to (\sqrt[3]{5x})^6 is 25x^2