What is (30)/(10^6)*e^{-2} ?

The solution to (30)/(10^6)*e^{-2} is 3/(100000e^2)

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simplify (30)/(10^6)*e^{-2}

simplify

\frac{30}{1 0 ^{6}} \cdot e^{- 2}

\frac{3}{100000 e ^{2}}

Decimal Notation

4.06006 E - 6

Solution steps

\frac{30}{1 0 ^{6}} e^{- 2}

Apply exponent rule:

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

= \frac{1}{e ^{2}} \cdot \frac{30}{1 0 ^{6}}

\frac{30}{1 0 ^{6}} = \frac{3}{2 ^{5} \cdot 5 ^{5}}

= \frac{1}{e ^{2}} \cdot \frac{3}{2 ^{5} \cdot 5 ^{5}}

Multiply fractions:

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

= \frac{3 \cdot 1}{2 ^{5} \cdot 5 ^{5} e ^{2}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{2 ^{5} \cdot 5 ^{5} e ^{2}}

2^{5} \cdot 5^{5} e^{2} = 100000 e^{2}

= \frac{3}{100000 e ^{2}}

(58)^{2}

(\frac{3}{4})^{- 12} \cdot (\frac{3}{4})^{25}

e^{- \frac{3 π}{2}}

e^{- 4275.958}

What is (30)/(10^6)*e^{-2} ?
The solution to (30)/(10^6)*e^{-2} is 3/(100000e^2)