What is 0.7725*10^{-3}*2970*(1-1/(1.1373)) ?

The solution to 0.7725*10^{-3}*2970*(1-1/(1.1373)) is 0.27698…

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simplify 0.772510^{-3}2970*(1-1/(1.1373))

simplify

0.7725 \cdot 1 0^{- 3} \cdot 2970 \cdot (1 - \frac{1}{1.1373})

0.27698 \dots

Solution steps

0.7725 \cdot 1 0^{- 3} \cdot 2970 (1 - \frac{1}{1.1373})

Apply exponent rule:

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

= 2970 \cdot 0.7725 \cdot \frac{1}{1 0 ^{3}} (- \frac{1}{1.1373} + 1)

Join

1 - \frac{1}{1.1373} : 0.12072 \dots

= 2970 \cdot 0.7725 \cdot 0.12072 \dots \cdot \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 0.7725 \cdot 0.12072 \dots \cdot \frac{1 \cdot 2970}{1 0 ^{3}}

\frac{1 \cdot 2970}{1 0 ^{3}} = \frac{297}{100}

= 0.7725 \cdot 0.12072 \dots \cdot \frac{297}{100}

Multiply the numbers:

0.7725 \cdot 0.12072 \dots = 0.09325 \dots

= 0.09325 \dots \cdot \frac{297}{100}

Multiply fractions:

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

= \frac{297 \cdot 0.09325 \dots}{100}

Multiply the numbers:

297 \cdot 0.09325 \dots = 27.69812 \dots

= \frac{27.69812 \dots}{100}

Divide the numbers:

\frac{27.69812 \dots}{100} = 0.27698 \dots

= 0.27698 \dots

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What is 0.7725*10^{-3}*2970*(1-1/(1.1373)) ?
The solution to 0.7725*10^{-3}*2970*(1-1/(1.1373)) is 0.27698…