What is 2pi(124)^2(0.95*10^{-3}) ?

The solution to 2pi(124)^2(0.95*10^{-3}) is 91.77974…

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simplify 2pi(124)^2(0.95*10^{-3})

simplify

2 π (124)^{2} (0.95 \cdot 1 0^{- 3})

91.77974 \dots

Solution steps

2 π (124)^{2} (0.95 \cdot 1 0^{- 3})

Apply exponent rule:

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

= 12 4^{2} \cdot 2 \cdot 0.95 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 0.95 \cdot \frac{12 4 ^{2} \cdot 1 \cdot 2 π}{1 0 ^{3}}

\frac{1 \cdot 2 π 12 4 ^{2}}{1 0 ^{3}} = \frac{3844 π}{125}

= 0.95 \cdot \frac{3844 π}{125}

Multiply fractions:

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

= \frac{3844 π 0.95}{125}

Multiply the numbers:

3844 \cdot 0.95 = 3651.8

= \frac{3651.8 π}{125}

Multiply the numbers:

3651.8 \cdot 3.14159 \dots = 11472.46805 \dots

= \frac{11472.46805 \dots}{125}

Divide the numbers:

\frac{11472.46805 \dots}{125} = 91.77974 \dots

= 91.77974 \dots

4 (4 - 3 x)^{- 0.5}

- 8.356 e^{- 8}

e^{- 2 l o g_{e} (2)}

10 \cdot 1.4 7^{- 5}

What is 2pi(124)^2(0.95*10^{-3}) ?
The solution to 2pi(124)^2(0.95*10^{-3}) is 91.77974…