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Popular >

simplify (sqrt(8))^4

Solution

simplify

(8)^{4}

Solution

64

Solution steps

(8)^{4}

Rewrite

4

as

2 \cdot 2

= (8)^{2 \cdot 2}

Apply exponent rule:

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

(8)^{2 \cdot 2} = ((8)^{2})^{2}

= ((8)^{2})^{2}

Apply exponent rule:

(8)^{2} = 8

= 8^{2}

8^{2} = 64

= 64

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Frequently Asked Questions (FAQ)

What is (sqrt(8))^4 ?
The solution to (sqrt(8))^4 is 64