What is 10782.66(1+0.0376)^{-4} ?

The solution to 10782.66(1+0.0376)^{-4} is 9302.63666…

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simplify 10782.66(1+0.0376)^{-4}

simplify

10782.66 (1 + 0.0376)^{- 4}

9302.63666 \dots

Solution steps

10782.66 (1 + 0.0376)^{- 4}

Apply exponent rule:

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

= 10782.66 \cdot \frac{1}{( 1 + 0.0376 ) ^{4}}

Add the numbers:

1 + 0.0376 = 1.0376

= 10782.66 \cdot \frac{1}{1.037 6 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 10782.66}{1.037 6 ^{4}}

Multiply the numbers:

1 \cdot 10782.66 = 10782.66

= \frac{10782.66}{1.037 6 ^{4}}

1.037 6^{4} = 1.15909 \dots

= \frac{10782.66}{1.15909 \dots}

Divide the numbers:

\frac{10782.66}{1.15909 \dots} = 9302.63666 \dots

= 9302.63666 \dots

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What is 10782.66(1+0.0376)^{-4} ?
The solution to 10782.66(1+0.0376)^{-4} is 9302.63666…