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Popular >

simplify sqrt(5)^8

Solution

simplify

5^{8}

Solution

625

Solution steps

(5)^{8}

Rewrite

8

as

2 \cdot 4

= (5)^{2 \cdot 4}

Apply exponent rule:

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

(5)^{2 \cdot 4} = ((5)^{2})^{4}

= ((5)^{2})^{4}

Apply exponent rule:

(5)^{2} = 5

= 5^{4}

5^{4} = 625

= 625

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Frequently Asked Questions (FAQ)

What is sqrt(5)^8 ?
The solution to sqrt(5)^8 is 625