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Popular >

simplify 60pi310^{-3}

Solution

simplify

60 π \cdot 3 \cdot 1 0^{- 3}

Solution

\frac{9 π}{50}

+1

Decimal Notation

0.56548 \dots

Solution steps

60 π 3 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 60 \cdot 3 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 60 π 3}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 60 \cdot 3 = 180

= \frac{180 π}{1 0 ^{3}}

Factor

180 : 2^{2} \cdot 3^{2} \cdot 5

Factor

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

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

Cancel

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

= \frac{3 ^{2} π}{5 ^{2} \cdot 2}

3^{2} = 9

= \frac{9 π}{5 ^{2} \cdot 2}

5^{2} \cdot 2 = 50

= \frac{9 π}{50}

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Frequently Asked Questions (FAQ)

What is 60pi*3*10^{-3} ?
The solution to 60pi*3*10^{-3} is (9pi)/(50)