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Popular >

simplify sqrt(8)^6

Solution

simplify

8^{6}

Solution

512

Solution steps

(8)^{6}

Rewrite

6

as

2 \cdot 3

= (8)^{2 \cdot 3}

Apply exponent rule:

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

(8)^{2 \cdot 3} = ((8)^{2})^{3}

= ((8)^{2})^{3}

Apply exponent rule:

(8)^{2} = 8

= 8^{3}

8^{3} = 512

= 512

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Frequently Asked Questions (FAQ)

What is sqrt(8)^6 ?
The solution to sqrt(8)^6 is 512