What is (256pi)/3*10^{-15} ?

The solution to (256pi)/3*10^{-15} is pi/(5^{15)*384}

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simplify (256pi)/3*10^{-15}

simplify

\frac{256 π}{3} \cdot 1 0^{- 15}

\frac{π}{5 ^{15} \cdot 384}

Decimal Notation

2.68083 E - 13

Solution steps

\frac{256 π}{3} \cdot 1 0^{- 15}

Apply exponent rule:

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

= \frac{256 π}{3} \cdot \frac{1}{1 0 ^{15}}

Multiply fractions:

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

= \frac{256 π 1}{3 \cdot 1 0 ^{15}}

Multiply the numbers:

256 \cdot 1 = 256

= \frac{256 π}{1 0 ^{15} \cdot 3}

Factor

256 : 2^{8}

Factor

1 0^{15} : 2^{15} \cdot 5^{15}

= \frac{2 ^{8} π}{2 ^{15} \cdot 5 ^{15} \cdot 3}

Cancel

\frac{2 ^{8} π}{3 \cdot 2 ^{15} \cdot 5 ^{15}} : \frac{π}{5 ^{15} \cdot 2 ^{7} \cdot 3}

= \frac{π}{5 ^{15} \cdot 2 ^{7} \cdot 3}

5^{15} \cdot 2^{7} \cdot 3 = 5^{15} \cdot 384

= \frac{π}{5 ^{15} \cdot 384}

(5 x 1 0^{3} d km) x (3 x 1 0^{- 4} d km)

- \frac{2}{14}

\frac{1}{2} (2.5 \cdot 1 0^{- 7})

3.7 \cdot 4^{- 0.2 \cdot x}

t e^{- t} cos (3 t)

What is (256pi)/3*10^{-15} ?
The solution to (256pi)/3*10^{-15} is pi/(5^{15)*384}