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Popular >

simplify 2pi(1)(10*10^{-3})

Solution

simplify

2 π (1) (10 \cdot 1 0^{- 3})

Solution

\frac{π}{50}

+1

Decimal Notation

0.06283 \dots

Solution steps

2 π (1) (10 \cdot 1 0^{- 3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

10 \cdot 1 0^{- 3} = 1 0^{1 - 3}

= 2 π 1 \cdot 1 0^{1 - 3}

Subtract the numbers:

1 - 3 = - 2

= 2 π 1 \cdot 1 0^{- 2}

Apply exponent rule:

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

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

= 2 \cdot 1 π \frac{1}{1 0 ^{2}}

Multiply fractions:

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

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

\frac{1 \cdot 2 π}{1 0 ^{2}} = \frac{π}{50}

= 1 \cdot \frac{π}{50}

Multiply:

1 \cdot \frac{π}{50} = \frac{π}{50}

= \frac{π}{50}

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Frequently Asked Questions (FAQ)

What is 2pi(1)(10*10^{-3}) ?
The solution to 2pi(1)(10*10^{-3}) is pi/(50)