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Popular >

simplify 55*(1+0.05)^{-1}

Solution

simplify

55 \cdot (1 + 0.05)^{- 1}

Solution

52.38095 \dots

Solution steps

55 (1 + 0.05)^{- 1}

Apply exponent rule:

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

= 55 \cdot \frac{1}{( 1 + 0.05 )}

Add the numbers:

1 + 0.05 = 1.05

= 55 \cdot \frac{1}{1.05}

Multiply fractions:

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

= \frac{1 \cdot 55}{1.05}

Multiply the numbers:

1 \cdot 55 = 55

= \frac{55}{1.05}

Divide the numbers:

\frac{55}{1.05} = 52.38095 \dots

= 52.38095 \dots

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Frequently Asked Questions (FAQ)

What is 55*(1+0.05)^{-1} ?
The solution to 55*(1+0.05)^{-1} is 52.38095…