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Popular >

simplify \sqrt[5]{(ef)^{15}}

Solution

simplify

Solution

e^{3} f^{3}

Solution steps

Apply radical rule:

= ((e f)^{15})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (e f)^{15 \cdot \frac{1}{5}}

15 \cdot \frac{1}{5} = 3

= (e f)^{3}

Apply exponent rule:

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

= e^{3} f^{3}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{(ef)^{15}} ?
The solution to \sqrt[5]{(ef)^{15}} is e^3f^3