What is 3*10^{-3}((7pi)/(-15)) ?

The solution to 3*10^{-3}((7pi)/(-15)) is -(7pi)/(5000)

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simplify 3*10^{-3}((7pi)/(-15))

simplify

3 \cdot 1 0^{- 3} (\frac{7 π}{- 15})

- \frac{7 π}{5000}

Decimal

- 0.00439 \dots

Solution steps

3 \cdot 1 0^{- 3} (\frac{7 π}{- 15})

Apply exponent rule:

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

= 3 \cdot \frac{7 π}{- 15} \cdot \frac{1}{1 0 ^{3}}

Apply the fraction rule:

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

= 3 (- \frac{7 π}{15}) \frac{1}{1 0 ^{3}}

Remove parentheses:

(- a) = - a

= - 3 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{7 π}{15}

Multiply fractions:

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

= - \frac{1 \cdot 7 π 3}{1 0 ^{3} \cdot 15}

Multiply the numbers:

1 \cdot 7 \cdot 3 = 21

= - \frac{21 π}{1 0 ^{3} \cdot 15}

Cancel the common factor:

3

= - \frac{7 π}{1 0 ^{3} \cdot 5}

1 0^{3} \cdot 5 = 5000

= - \frac{7 π}{5000}

60.656 e^{- 0.0892 (5)}

(3 b)^{2}

0.4 \cdot 1 0^{- 2}

e^{3 t} e^{3 t}

e^{- 3 x^{9}}

What is 3*10^{-3}((7pi)/(-15)) ?
The solution to 3*10^{-3}((7pi)/(-15)) is -(7pi)/(5000)