What is 230(1+0.0225)^{-8} ?

The solution to 230(1+0.0225)^{-8} is 192.49581…

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simplify 230(1+0.0225)^{-8}

simplify

230 (1 + 0.0225)^{- 8}

192.49581 \dots

Solution steps

230 (1 + 0.0225)^{- 8}

Apply exponent rule:

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

= 230 \cdot \frac{1}{( 1 + 0.0225 ) ^{8}}

Add the numbers:

1 + 0.0225 = 1.0225

= 230 \cdot \frac{1}{1.022 5 ^{8}}

Multiply fractions:

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

= \frac{1 \cdot 230}{1.022 5 ^{8}}

Multiply the numbers:

1 \cdot 230 = 230

= \frac{230}{1.022 5 ^{8}}

1.022 5^{8} = 1.19483 \dots

= \frac{230}{1.19483 \dots}

Divide the numbers:

\frac{230}{1.19483 \dots} = 192.49581 \dots

= 192.49581 \dots

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