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Popular >

simplify 100(1.1)^{-2}

Solution

simplify

100 (1.1)^{- 2}

Solution

82.64462 \dots

Solution steps

100 (1.1)^{- 2}

Apply exponent rule:

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

= 100 \cdot \frac{1}{1. 1 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 100}{1. 1 ^{2}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{1. 1 ^{2}}

1. 1^{2} = 1.21

= \frac{100}{1.21}

Divide the numbers:

\frac{100}{1.21} = 82.64462 \dots

= 82.64462 \dots

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Frequently Asked Questions (FAQ)

What is 100(1.1)^{-2} ?
The solution to 100(1.1)^{-2} is 82.64462…