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Popular >

simplify ((sqrt(2))/2)^6

Solution

simplify

(\frac{2}{2})^{6}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

(\frac{2}{2})^{6}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

2^{6} = 64

= \frac{( 2 ) ^{6}}{64}

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

= \frac{2 ^{3}}{64}

Factor

64 : 2^{6}

= \frac{2 ^{3}}{2 ^{6}}

Cancel

\frac{2 ^{3}}{2 ^{6}} : \frac{1}{2 ^{3}}

= \frac{1}{2 ^{3}}

2^{3} = 8

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is ((sqrt(2))/2)^6 ?
The solution to ((sqrt(2))/2)^6 is 1/8