What is 107(1+0.1414)^{-3} ?

The solution to 107(1+0.1414)^{-3} is 71.95652…

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simplify 107(1+0.1414)^{-3}

simplify

107 (1 + 0.1414)^{- 3}

71.95652 \dots

Solution steps

107 (1 + 0.1414)^{- 3}

Apply exponent rule:

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

= 107 \cdot \frac{1}{( 1 + 0.1414 ) ^{3}}

Add the numbers:

1 + 0.1414 = 1.1414

= 107 \cdot \frac{1}{1.141 4 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 107}{1.141 4 ^{3}}

Multiply the numbers:

1 \cdot 107 = 107

= \frac{107}{1.141 4 ^{3}}

1.141 4^{3} = 1.48700 \dots

= \frac{107}{1.48700 \dots}

Divide the numbers:

\frac{107}{1.48700 \dots} = 71.95652 \dots

= 71.95652 \dots

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