What is 10000(1+0.1)^{-30} ?

The solution to 10000(1+0.1)^{-30} is 573.08553…

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simplify 10000(1+0.1)^{-30}

simplify

10000 (1 + 0.1)^{- 30}

573.08553 \dots

Solution steps

10000 (1 + 0.1)^{- 30}

Apply exponent rule:

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

= 10000 \cdot \frac{1}{( 1 + 0.1 ) ^{30}}

Add the numbers:

1 + 0.1 = 1.1

= 10000 \cdot \frac{1}{1. 1 ^{30}}

Multiply fractions:

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

= \frac{1 \cdot 10000}{1. 1 ^{30}}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{1. 1 ^{30}}

1. 1^{30} = 17.44940 \dots

= \frac{10000}{17.44940 \dots}

Divide the numbers:

\frac{10000}{17.44940 \dots} = 573.08553 \dots

= 573.08553 \dots

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