What is 4pi*10^{-7}*10/15 ?

The solution to 4pi*10^{-7}*10/15 is pi/(3750000)

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simplify 4pi10^{-7}10/15

simplify

4 π \cdot 1 0^{- 7} \cdot \frac{10}{15}

\frac{π}{3750000}

Decimal Notation

8.37758 E - 7

Solution steps

4 π 1 0^{- 7} \cdot \frac{10}{15}

Apply exponent rule:

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

= 4 π \frac{10}{15} \cdot \frac{1}{1 0 ^{7}}

\frac{10}{15} = \frac{2}{3}

= 4 π \frac{2}{3} \cdot \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 2 \cdot 4 π}{1 0 ^{7} \cdot 3}

Multiply the numbers:

1 \cdot 2 \cdot 4 = 8

= \frac{8 π}{1 0 ^{7} \cdot 3}

Factor

8 : 2^{3}

Factor

1 0^{7} : 2^{7} \cdot 5^{7}

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

Cancel

\frac{2 ^{3} π}{2 ^{7} \cdot 5 ^{7} \cdot 3} : \frac{π}{5 ^{7} \cdot 2 ^{4} \cdot 3}

= \frac{π}{5 ^{7} \cdot 2 ^{4} \cdot 3}

5^{7} \cdot 2^{4} \cdot 3 = 3750000

= \frac{π}{3750000}

e^{- 3.7}

e^{- 0.00004 \cdot 20288}

(x + 2)^{2} (- x + 1)^{2}

2 \cdot 2 x^{2} + 1

0.95 \cdot 5.67 \cdot 1 0^{- 8} \cdot (30 5^{4} - 29 8^{4})