simplify e^{-3}*e^2

Solution

simplify

e^{- 3} \cdot e^{2}

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

e^{- 3} e^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 3} e^{2} = e^{- 3 + 2}

= e^{- 3 + 2}

Add/Subtract the numbers:

- 3 + 2 = - 1

= e^{- 1}

Apply exponent rule:

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

= \frac{1}{e}

(2.11778 \cdot 1 0^{- 10}) 1 0^{9}

e^{u} \cdot e^{u}

20000000 \cdot e^{- 0.25 (5)}

e^{8 x} \cdot e^{- 4 x}

(2.3 \cdot 1 0^{- 4}) \cdot (1200)