What is (2*10^{11})(pi(10^{-3})^2)(2.5*10^{-3}) ?

The solution to (2*10^{11})(pi(10^{-3})^2)(2.5*10^{-3}) is 1570.79632…

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simplify (210^{11})(pi(10^{-3})^2)(2.510^{-3})

simplify

(2 \cdot 1 0^{11}) (π (1 0^{- 3})^{2}) (2.5 \cdot 1 0^{- 3})

1570.79632 \dots

Solution steps

(2 \cdot 1 0^{11}) (π (1 0^{- 3})^{2}) (2.5 \cdot 1 0^{- 3})

Apply exponent rule:

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

1 0^{11} \cdot 1 0^{- 3} = 1 0^{11 - 3}

= 2 π (1 0^{- 3})^{2} \cdot 2.5 \cdot 1 0^{11 - 3}

Subtract the numbers:

11 - 3 = 8

= 2 π (1 0^{- 3})^{2} \cdot 2.5 \cdot 1 0^{8}

(1 0^{- 3})^{2} = \frac{1}{1 0 ^{6}}

= 1 0^{8} \cdot 2 \cdot 2.5 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= 2.5 \cdot \frac{1 0 ^{8} \cdot 1 \cdot 2 π}{1 0 ^{6}}

\frac{1 \cdot 2 π 1 0 ^{8}}{1 0 ^{6}} = 200 π

= 200 \cdot 2.5 π

Multiply the numbers:

2.5 \cdot 200 = 500

= 500 π

Multiply the numbers:

500 \cdot 3.14159 \dots = 1570.79632 \dots

= 1570.79632 \dots

e^{- t} u (t - 1)

1.21 \cdot 1 0^{- 11}

2.8 \cdot 1 0^{- 6}

e^{- x} e^{- x}

2 e^{- x} sin (x)

What is (2*10^{11})(pi(10^{-3})^2)(2.5*10^{-3}) ?
The solution to (2*10^{11})(pi(10^{-3})^2)(2.5*10^{-3}) is 1570.79632…