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Popular >

simplify 31.4^2210^{-2}

Solution

simplify

31. 4^{2} \cdot 2 \cdot 1 0^{- 2}

Solution

19.7192

Solution steps

31. 4^{2} \cdot 2 \cdot 1 0^{- 2}

31. 4^{2} = 985.96

= 985.96 \cdot 2 \cdot 1 0^{- 2}

Apply exponent rule:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= 985.96 \cdot 2 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 985.96 \cdot 2 \cdot \frac{1}{100}

Multiply the numbers:

985.96 \cdot 2 = 1971.92

= 1971.92 \cdot \frac{1}{100}

= \frac{1}{100} \cdot 1971.92

\frac{1}{100} \cdot 1971.92 = \frac{1971.92}{100}

= \frac{1971.92}{100}

Divide the numbers:

\frac{1971.92}{100} = 19.7192

= 19.7192

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Frequently Asked Questions (FAQ)

What is 31.4^2*2*10^{-2} ?
The solution to 31.4^2*2*10^{-2} is 19.7192