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Popular >

simplify 1000*(1.1)^{-12}

Solution

simplify

1000 \cdot (1.1)^{- 12}

Solution

318.63081 \dots

Solution steps

1000 (1.1)^{- 12}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{1. 1 ^{12}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{1. 1 ^{12}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{1. 1 ^{12}}

1. 1^{12} = 3.13842 \dots

= \frac{1000}{3.13842 \dots}

Divide the numbers:

\frac{1000}{3.13842 \dots} = 318.63081 \dots

= 318.63081 \dots

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Frequently Asked Questions (FAQ)

What is 1000*(1.1)^{-12} ?
The solution to 1000*(1.1)^{-12} is 318.63081…