What is 6.75*10^{-2}*4pi*115^2*0.21 ?

The solution to 6.75*10^{-2}*4pi*115^2*0.21 is 2355.74681…

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simplify 6.7510^{-2}4pi115^20.21

simplify

6.75 \cdot 1 0^{- 2} \cdot 4 π \cdot 11 5^{2} \cdot 0.21

2355.74681 \dots

Solution steps

6.75 \cdot 1 0^{- 2} \cdot 4 π 11 5^{2} \cdot 0.21

Apply exponent rule:

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

= 11 5^{2} \cdot 4 \cdot 0.21 \cdot 6.75 π \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= 0.21 \cdot 6.75 \cdot \frac{11 5 ^{2} \cdot 1 \cdot 4 π}{1 0 ^{2}}

\frac{1 \cdot 4 π 11 5 ^{2}}{1 0 ^{2}} = 529 π

= 529 \cdot 0.21 \cdot 6.75 π

Multiply the numbers:

6.75 \cdot 0.21 \cdot 529 = 749.8575

= 749.8575 π

Multiply the numbers:

749.8575 \cdot 3.14159 \dots = 2355.74681 \dots

= 2355.74681 \dots

1.6 \cdot 1 0^{- 19} \cdot 2

1.6 \cdot 1 0^{- 19} \cdot 4

(π x)^{- 2}

(37000) (9.5 \cdot 1 0^{- 4}) (- 23)

- e^{- 0.2 x}

What is 6.75*10^{-2}*4pi*115^2*0.21 ?
The solution to 6.75*10^{-2}*4pi*115^2*0.21 is 2355.74681…