What is e^{-15}(6-5e^{-3}) ?

The solution to e^{-15}(6-5e^{-3}) is (6e^3-5)/(e^{18)}

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simplify e^{-15}(6-5e^{-3})

simplify

e^{- 15} (6 - 5 e^{- 3})

\frac{6 e ^{3} - 5}{e ^{18}}

Solution steps

e^{- 15} (6 - 5 e^{- 3})

Apply exponent rule:

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

= \frac{1}{e ^{15}} (- 5 e^{- 3} + 6)

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

= \frac{1}{e ^{15}} (- \frac{5}{e ^{3}} + 6)

Multiply fractions:

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

= \frac{1 \cdot ( 6 - \frac{5}{e ^{3}} )}{e ^{15}}

1 \cdot (6 - \frac{5}{e ^{3}}) = 6 - \frac{5}{e ^{3}}

= \frac{6 - \frac{5}{e ^{3}}}{e ^{15}}

Join

6 - \frac{5}{e ^{3}} : \frac{6 e ^{3} - 5}{e ^{3}}

= \frac{\frac{6 e ^{3} - 5}{e ^{3}}}{e ^{15}}

Apply the fraction rule:

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

= \frac{6 e ^{3} - 5}{e ^{3} e ^{15}}

e^{3} e^{15} = e^{18}

= \frac{6 e ^{3} - 5}{e ^{18}}

0.01 \cdot 1 0^{- 3}

e^{- 2 l n (6)}

(e^{- 9})^{\frac{8}{9}}

4 x^{3} y^{3} z^{2}

What is e^{-15}(6-5e^{-3}) ?
The solution to e^{-15}(6-5e^{-3}) is (6e^3-5)/(e^{18)}