What is simplify-(200pi)^2(3*10^{-3}) ?

The solution to simplify-(200pi)^2(3*10^{-3}) is -120pi^2

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simplify-(200pi)^2(3*10^{-3})

simplify

- (200 π)^{2} (3 \cdot 1 0^{- 3})

- 120 π^{2}

Solution steps

- (200 π)^{2} (3 \cdot 1 0^{- 3})

Apply exponent rule:

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

= - 3 \cdot \frac{1}{1 0 ^{3}} (200 π)^{2}

(200 π)^{2} = 20 0^{2} π^{2}

= - 20 0^{2} \cdot 3 π^{2} \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= - \frac{1 \cdot 20 0 ^{2} π ^{2} \cdot 3}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 3 = 3

= - \frac{20 0 ^{2} \cdot 3 π ^{2}}{1 0 ^{3}}

Cancel

\frac{3 \cdot 20 0 ^{2} π ^{2}}{1 0 ^{3}} : 2^{3} \cdot 3 \cdot 5 π^{2}

= - 2^{3} \cdot 3 \cdot 5 π^{2}

Multiply the numbers:

3 \cdot 5 = 15

= - 2^{3} \cdot 15 π^{2}

2^{3} = 8

= - 15 \cdot 8 π^{2}

Multiply the numbers:

15 \cdot 8 = 120

= - 120 π^{2}

(e^{- \frac{a}{b}})^{2}

(2 x - 2 y)^{2} \cdot (2 x + 2 y)^{2}

0 e^{t} cos (t) e^{t} sin (t)

10 \cdot 2^{- 0.274 \cdot 19}

e^{- 9000 \cdot 0.00012}

What is simplify-(200pi)^2(3*10^{-3}) ?
The solution to simplify-(200pi)^2(3*10^{-3}) is -120pi^2