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Popular >

simplify pi(25)^210^{-3}

Solution

simplify

π \cdot (25)^{2} \cdot 1 0^{- 3}

Solution

\frac{5 π}{8}

+1

Decimal Notation

1.96349 \dots

Solution steps

π (25)^{2} \cdot 1 0^{- 3}

Apply exponent rule:

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

= 2 5^{2} π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 π 2 5 ^{2}}{1 0 ^{3}}

Multiply:

1 π = π

= \frac{2 5 ^{2} π}{1 0 ^{3}}

Factor

2 5^{2} : 5^{4}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{5 ^{4} π}{2 ^{3} \cdot 5 ^{3}}

Cancel

\frac{π 5 ^{4}}{2 ^{3} \cdot 5 ^{3}} : \frac{5 π}{2 ^{3}}

= \frac{5 π}{2 ^{3}}

2^{3} = 8

= \frac{5 π}{8}

Popular Examples

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2.5 \cdot 1 0^{- 3} \cdot 141.42 j

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(e^{x^{2}})^{2}

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2.89 x 1 0^{- 12}

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- 2 (0.5)^{- 2}

Frequently Asked Questions (FAQ)

What is pi*(25)^2*10^{-3} ?
The solution to pi*(25)^2*10^{-3} is (5pi)/8