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Popular >

simplify 15(1.05)^{-1/4}

Solution

simplify

15 (1.05)^{- \frac{1}{4}}

Solution

15 (\frac{20}{21})^{\frac{1}{4}}

+1

Decimal Notation

14.81814 \dots

Solution steps

15 \cdot 1.0 5^{- \frac{1}{4}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1.0 5^{- \frac{1}{4}} = \frac{1}{1.0 5 ^{\frac{1}{4}}}

= 15 \cdot \frac{1}{1.0 5 ^{\frac{1}{4}}}

1.05 = \frac{21}{20}

= 15 \cdot \frac{1}{( \frac{21}{20} ) ^{\frac{1}{4}}}

\frac{1}{( \frac{21}{20} ) ^{\frac{1}{4}}} = (\frac{20}{21})^{\frac{1}{4}}

= 15 (\frac{20}{21})^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is 15(1.05)^{-1/4} ?
The solution to 15(1.05)^{-1/4} is 15(20/21)^{1/4}