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Popular >

simplify (sqrt(6))^6

Solution

simplify

(6)^{6}

Solution

216

Solution steps

(6)^{6}

Rewrite

6

as

2 \cdot 3

= (6)^{2 \cdot 3}

Apply exponent rule:

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

(6)^{2 \cdot 3} = ((6)^{2})^{3}

= ((6)^{2})^{3}

Apply exponent rule:

(6)^{2} = 6

= 6^{3}

6^{3} = 216

= 216

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Frequently Asked Questions (FAQ)

What is (sqrt(6))^6 ?
The solution to (sqrt(6))^6 is 216