simplify e^3*e^{-5}

Solution

simplify

e^{3} \cdot e^{- 5}

\frac{1}{e ^{2}}

Decimal Notation

0.13533 \dots

Solution steps

e^{3} e^{- 5}

Apply exponent rule:

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

e^{3} e^{- 5} = e^{3 - 5}

= e^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= e^{- 2}

Apply exponent rule:

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

= \frac{1}{e ^{2}}

(0.1 M) (0.2 MN) (10 M^{2} N^{2})

\frac{5}{2} x^{- 0.5}

(5 m^{4}) (6 m^{3})

6.0309 \cdot 1 0^{- 4}

e^{- \frac{1}{25} l n ∣ 8 - 25 x ∣}