What is 5664*(1+0.05625)^{-20} ?

The solution to 5664*(1+0.05625)^{-20} is 1895.78379…

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simplify 5664*(1+0.05625)^{-20}

simplify

5664 \cdot (1 + 0.05625)^{- 20}

1895.78379 \dots

Solution steps

5664 (1 + 0.05625)^{- 20}

Apply exponent rule:

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

= 5664 \cdot \frac{1}{( 1 + 0.05625 ) ^{20}}

Add the numbers:

1 + 0.05625 = 1.05625

= 5664 \cdot \frac{1}{1.0562 5 ^{20}}

Multiply fractions:

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

= \frac{1 \cdot 5664}{1.0562 5 ^{20}}

Multiply the numbers:

1 \cdot 5664 = 5664

= \frac{5664}{1.0562 5 ^{20}}

1.0562 5^{20} = 2.98768 \dots

= \frac{5664}{2.98768 \dots}

Divide the numbers:

\frac{5664}{2.98768 \dots} = 1895.78379 \dots

= 1895.78379 \dots

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What is 5664*(1+0.05625)^{-20} ?
The solution to 5664*(1+0.05625)^{-20} is 1895.78379…