What is 8000(1+0.1)^{-11} ?

The solution to 8000(1+0.1)^{-11} is 2803.95119…

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simplify 8000(1+0.1)^{-11}

simplify

8000 (1 + 0.1)^{- 11}

2803.95119 \dots

Solution steps

8000 (1 + 0.1)^{- 11}

Apply exponent rule:

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

= 8000 \cdot \frac{1}{( 1 + 0.1 ) ^{11}}

Add the numbers:

1 + 0.1 = 1.1

= 8000 \cdot \frac{1}{1. 1 ^{11}}

Multiply fractions:

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

= \frac{1 \cdot 8000}{1. 1 ^{11}}

Multiply the numbers:

1 \cdot 8000 = 8000

= \frac{8000}{1. 1 ^{11}}

1. 1^{11} = 2.85311 \dots

= \frac{8000}{2.85311 \dots}

Divide the numbers:

\frac{8000}{2.85311 \dots} = 2803.95119 \dots

= 2803.95119 \dots

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