What is 5600*(1+0.1)^{-47} ?

The solution to 5600*(1+0.1)^{-47} is 63.49387…

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simplify 5600*(1+0.1)^{-47}

simplify

5600 \cdot (1 + 0.1)^{- 47}

63.49387 \dots

Solution steps

5600 (1 + 0.1)^{- 47}

Apply exponent rule:

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

= 5600 \cdot \frac{1}{( 1 + 0.1 ) ^{47}}

Add the numbers:

1 + 0.1 = 1.1

= 5600 \cdot \frac{1}{1. 1 ^{47}}

Multiply fractions:

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

= \frac{1 \cdot 5600}{1. 1 ^{47}}

Multiply the numbers:

1 \cdot 5600 = 5600

= \frac{5600}{1. 1 ^{47}}

1. 1^{47} = 88.19748 \dots

= \frac{5600}{88.19748 \dots}

Divide the numbers:

\frac{5600}{88.19748 \dots} = 63.49387 \dots

= 63.49387 \dots

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