What is 10000(1+0.05)^{-4} ?

The solution to 10000(1+0.05)^{-4} is 8227.02474…

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simplify 10000(1+0.05)^{-4}

simplify

10000 (1 + 0.05)^{- 4}

8227.02474 \dots

Solution steps

10000 (1 + 0.05)^{- 4}

Apply exponent rule:

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

= 10000 \cdot \frac{1}{( 1 + 0.05 ) ^{4}}

Add the numbers:

1 + 0.05 = 1.05

= 10000 \cdot \frac{1}{1.0 5 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 10000}{1.0 5 ^{4}}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{1.0 5 ^{4}}

1.0 5^{4} = 1.21550625

= \frac{10000}{1.21550625}

Divide the numbers:

\frac{10000}{1.21550625} = 8227.02474 \dots

= 8227.02474 \dots

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