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Popular >

simplify (1/4)^{1/4}

Solution

simplify

(\frac{1}{4})^{\frac{1}{4}}

Solution

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

+1

Decimal Notation

0.70710 \dots

Solution steps

(\frac{1}{4})^{\frac{1}{4}}

Apply exponent rule:

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

= \frac{1 ^{\frac{1}{4}}}{4 ^{\frac{1}{4}}}

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

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

Apply rule

1^{a} = 1

1^{\frac{1}{4}} = 1

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

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\frac{5}{x y} + \frac{7}{2 x ^{2}}

Frequently Asked Questions (FAQ)

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