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Popular >

simplify 0.5*1.01^{-0.167}

Solution

simplify

0.5 \cdot 1.0 1^{- 0.167}

Solution

\frac{1}{2 \cdot 1.0 1 ^{0.167}}

+1

Decimal Notation

0.49916 \dots

Solution steps

0.5 \cdot 1.0 1^{- 0.167}

Apply exponent rule:

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

1.0 1^{- 0.167} = \frac{1}{1.0 1 ^{0.167}}

= 0.5 \cdot \frac{1}{1.0 1 ^{0.167}}

0.5 \cdot \frac{1}{1.0 1 ^{0.167}} = \frac{0.5}{1.0 1 ^{0.167}}

= \frac{0.5}{1.0 1 ^{0.167}}

\frac{0.5}{1.0 1 ^{0.167}} = \frac{5}{10 \cdot 1.0 1 ^{0.167}}

= \frac{5}{10 \cdot 1.0 1 ^{0.167}}

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

= \frac{1}{2 \cdot 1.0 1 ^{0.167}}

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Frequently Asked Questions (FAQ)

What is 0.5*1.01^{-0.167} ?
The solution to 0.5*1.01^{-0.167} is 1/(2*1.01^{0.167)}