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Popular >

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

Solution

simplify

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

Solution

4

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{16}{( 2 ) ^{4}}

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

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

Factor

16 : 2^{4}

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

Cancel

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

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

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