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Popular >

simplify (sqrt(2))^{12}

Solution

simplify

(2)^{12}

Solution

64

Solution steps

(2)^{12}

Rewrite

12

as

2 \cdot 6

= (2)^{2 \cdot 6}

Apply exponent rule:

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

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

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

Apply exponent rule:

(n a)^{n} = a, n i s o dd or a \geq 0

(2)^{2} = 2

= 2^{6}

2^{6} = 64

= 64

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Frequently Asked Questions (FAQ)

What is (sqrt(2))^{12} ?
The solution to (sqrt(2))^{12} is 64