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Popular >

simplify \sqrt[5]{2}^{20}

Solution

simplify

52^{20}

Solution

16

Solution steps

(52)^{20}

Rewrite

20

as

5 \cdot 4

= (52)^{5 \cdot 4}

Apply exponent rule:

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

(52)^{5 \cdot 4} = ((52)^{5})^{4}

= ((52)^{5})^{4}

Apply exponent rule:

(n a)^{n} = a, n i s o dd or a \geq 0

(52)^{5} = 2

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{2}^{20} ?
The solution to \sqrt[5]{2}^{20} is 16