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Popular >

simplify sqrt(3)^6

Solution

simplify

3^{6}

Solution

27

Solution steps

(3)^{6}

Rewrite

6

as

2 \cdot 3

= (3)^{2 \cdot 3}

Apply exponent rule:

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

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

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

Apply exponent rule:

(3)^{2} = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is sqrt(3)^6 ?
The solution to sqrt(3)^6 is 27