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Popular >

simplify x(1+0.02)^{-5}

Solution

simplify

x (1 + 0.02)^{- 5}

Solution

0.90573 \dots x

Solution steps

x (1 + 0.02)^{- 5}

Apply exponent rule:

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

= \frac{1}{( 1 + 0.02 ) ^{5}} x

Add the numbers:

1 + 0.02 = 1.02

= \frac{1}{1.0 2 ^{5}} x

Multiply fractions:

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

= \frac{1 \cdot x}{1.0 2 ^{5}}

Refine

= \frac{x}{1.10408 \dots}

Divide the numbers:

\frac{1}{1.10408 \dots} = 0.90573 \dots

= 0.90573 \dots x

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Frequently Asked Questions (FAQ)

What is x(1+0.02)^{-5} ?
The solution to x(1+0.02)^{-5} is 0.90573…x