What is pi(1.575*10^{-2})*2 ?

The solution to pi(1.575*10^{-2})*2 is 0.09896…

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simplify pi(1.57510^{-2})2

simplify

π (1.575 \cdot 1 0^{- 2}) \cdot 2

0.09896 \dots

Solution steps

π (1.575 \cdot 1 0^{- 2}) \cdot 2

Apply exponent rule:

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

= 2 \cdot 1.575 π \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= 1.575 \cdot \frac{1 \cdot 2 π}{1 0 ^{2}}

\frac{1 π 2}{1 0 ^{2}} = \frac{π}{50}

= 1.575 \cdot \frac{π}{50}

Multiply fractions:

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

= \frac{π 1.575}{50}

Multiply the numbers:

3.14159 \dots \cdot 1.575 = 4.94800 \dots

= \frac{4.94800 \dots}{50}

Divide the numbers:

\frac{4.94800 \dots}{50} = 0.09896 \dots

= 0.09896 \dots

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