simplify e^{-6}*e^2

Solution

simplify

e^{- 6} \cdot e^{2}

\frac{1}{e ^{4}}

Decimal Notation

0.01831 \dots

Solution steps

e^{- 6} e^{2}

Apply exponent rule:

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

e^{- 6} e^{2} = e^{- 6 + 2}

= e^{- 6 + 2}

Add/Subtract the numbers:

- 6 + 2 = - 4

= e^{- 4}

Apply exponent rule:

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

= \frac{1}{e ^{4}}

631.5 \cdot 1 0^{- 6} \cdot 18000

- 8.272022 \cdot 1 0^{- 4}

75 e^{- 0.2 (0.5)}

4 x^{5} (3 x^{6} + 10)^{5}

1.99 \cdot 1 0^{- 1}