What is 139940.56(1+0.02)^{-4} ?

The solution to 139940.56(1+0.02)^{-4} is 129283.44627…

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simplify 139940.56(1+0.02)^{-4}

simplify

139940.56 (1 + 0.02)^{- 4}

129283.44627 \dots

Solution steps

139940.56 (1 + 0.02)^{- 4}

Apply exponent rule:

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

= 139940.56 \cdot \frac{1}{( 1 + 0.02 ) ^{4}}

Add the numbers:

1 + 0.02 = 1.02

= 139940.56 \cdot \frac{1}{1.0 2 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 139940.56}{1.0 2 ^{4}}

Multiply the numbers:

1 \cdot 139940.56 = 139940.56

= \frac{139940.56}{1.0 2 ^{4}}

1.0 2^{4} = 1.08243216

= \frac{139940.56}{1.08243216}

Divide the numbers:

\frac{139940.56}{1.08243216} = 129283.44627 \dots

= 129283.44627 \dots

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What is 139940.56(1+0.02)^{-4} ?
The solution to 139940.56(1+0.02)^{-4} is 129283.44627…