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Popular >

simplify ((sqrt(2))/2)^4

Solution

simplify

(\frac{2}{2})^{4}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

(\frac{2}{2})^{4}

Apply exponent rule:

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

= \frac{( 2 ) ^{4}}{2 ^{4}}

2^{4} = 16

= \frac{( 2 ) ^{4}}{16}

(2)^{4} = 2^{2}

= \frac{2 ^{2}}{16}

Factor

16 : 2^{4}

= \frac{2 ^{2}}{2 ^{4}}

Cancel

\frac{2 ^{2}}{2 ^{4}} : \frac{1}{2 ^{2}}

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

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is ((sqrt(2))/2)^4 ?
The solution to ((sqrt(2))/2)^4 is 1/4