What is 8500(1+0.15)^{-4} ?

The solution to 8500(1+0.15)^{-4} is 4859.90258…

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simplify 8500(1+0.15)^{-4}

simplify

8500 (1 + 0.15)^{- 4}

4859.90258 \dots

Solution steps

8500 (1 + 0.15)^{- 4}

Apply exponent rule:

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

= 8500 \cdot \frac{1}{( 1 + 0.15 ) ^{4}}

Add the numbers:

1 + 0.15 = 1.15

= 8500 \cdot \frac{1}{1.1 5 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 8500}{1.1 5 ^{4}}

Multiply the numbers:

1 \cdot 8500 = 8500

= \frac{8500}{1.1 5 ^{4}}

1.1 5^{4} = 1.74900625

= \frac{8500}{1.74900625}

Divide the numbers:

\frac{8500}{1.74900625} = 4859.90258 \dots

= 4859.90258 \dots

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