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Popular >

simplify \sqrt[5]{(-7)^{10}}

Solution

simplify

Solution

49

Solution steps

Apply radical rule:

= ((- 7)^{10})^{\frac{1}{5}}

Apply exponent rule:

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

= (- 7)^{10 \cdot \frac{1}{5}}

10 \cdot \frac{1}{5} = 2

= (- 7)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 7)^{2} = 7^{2}

= 7^{2}

7^{2} = 49

= 49

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{(-7)^{10}} ?
The solution to \sqrt[5]{(-7)^{10}} is 49