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Popular >

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

Solution

simplify

Solution

49

Solution steps

Rewrite

10

as

5 \cdot 2

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

Apply exponent rule:

= (- 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