What is (e^{-x})((10)/(e^{2x)}) ?

The solution to (e^{-x})((10)/(e^{2x)}) is (10)/(e^{3x)}

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simplify (e^{-x})((10)/(e^{2x)})

simplify

(e^{- x}) (\frac{10}{e ^{2 x}})

\frac{10}{e ^{3 x}}

Solution steps

(e^{- x}) (\frac{10}{e ^{2 x}})

Apply exponent rule:

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

= \frac{1}{e ^{x}} \cdot \frac{10}{e ^{2 x}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{x} e ^{2 x}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{x} e ^{2 x}}

e^{x} e^{2 x} = e^{3 x}

= \frac{10}{e ^{3 x}}

8 h m^{2445} d a m^{24} m^{2}

100 \cdot 1 0^{- 6} \cdot 20 (1.22856 - 0.6)^{2}

\frac{1}{2} (1.673 \cdot 1 0^{- 27}) ((604)^{2})

(f g \circ f) (\frac{3 x - 2}{5})^{3}

What is (e^{-x})((10)/(e^{2x)}) ?
The solution to (e^{-x})((10)/(e^{2x)}) is (10)/(e^{3x)}