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Popular >

simplify (1/16)^{5/4}

Solution

simplify

(\frac{1}{16})^{\frac{5}{4}}

Solution

\frac{1}{32}

+1

Solution steps

(\frac{1}{16})^{\frac{5}{4}}

Apply exponent rule:

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

= \frac{1 ^{\frac{5}{4}}}{1 6 ^{\frac{5}{4}}}

1 6^{\frac{5}{4}} = 32

= \frac{1 ^{\frac{5}{4}}}{32}

Apply rule

1^{a} = 1

1^{\frac{5}{4}} = 1

= \frac{1}{32}

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Frequently Asked Questions (FAQ)

What is (1/16)^{5/4} ?
The solution to (1/16)^{5/4} is 1/32