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Popular >

simplify sqrt(2)^8

Solution

simplify

2^{8}

Solution

16

Solution steps

(2)^{8}

Rewrite

8

as

2 \cdot 4

= (2)^{2 \cdot 4}

Apply exponent rule:

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

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

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

Apply exponent rule:

(2)^{2} = 2

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is sqrt(2)^8 ?
The solution to sqrt(2)^8 is 16