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Popular >

simplify 4000(1.1)^{-4}

Solution

simplify

4000 (1.1)^{- 4}

Solution

2732.05382 \dots

Solution steps

4000 (1.1)^{- 4}

Apply exponent rule:

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

= 4000 \cdot \frac{1}{1. 1 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 4000}{1. 1 ^{4}}

Multiply the numbers:

1 \cdot 4000 = 4000

= \frac{4000}{1. 1 ^{4}}

1. 1^{4} = 1.4641

= \frac{4000}{1.4641}

Divide the numbers:

\frac{4000}{1.4641} = 2732.05382 \dots

= 2732.05382 \dots

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Frequently Asked Questions (FAQ)

What is 4000(1.1)^{-4} ?
The solution to 4000(1.1)^{-4} is 2732.05382…