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Popular >

simplify 100(1.034)^{-6}

Solution

simplify

100 (1.034)^{- 6}

Solution

81.82325 \dots

Solution steps

100 (1.034)^{- 6}

Apply exponent rule:

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

= 100 \cdot \frac{1}{1.03 4 ^{6}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 100}{1.03 4 ^{6}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{1.03 4 ^{6}}

1.03 4^{6} = 1.22214 \dots

= \frac{100}{1.22214 \dots}

Divide the numbers:

\frac{100}{1.22214 \dots} = 81.82325 \dots

= 81.82325 \dots

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Frequently Asked Questions (FAQ)

What is 100(1.034)^{-6} ?
The solution to 100(1.034)^{-6} is 81.82325…