simplify e^5*e^{-7}

Solution

simplify

e^{5} \cdot e^{- 7}

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

Decimal Notation

0.13533 \dots

Solution steps

e^{5} e^{- 7}

Apply exponent rule:

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

e^{5} e^{- 7} = e^{5 - 7}

= e^{5 - 7}

Subtract the numbers:

5 - 7 = - 2

= e^{- 2}

Apply exponent rule:

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

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

\frac{1}{1.097 \cdot 1 0 ^{7}} (\frac{1}{25} - \frac{1}{36})^{- 1}

- 30 π (0.0027)^{2} (3.2 \cdot 1046 π cos (1046 π) t)

x e^{x} \cdot e^{x}