What is e^{-25(-1.5)} ?

The solution to e^{-25(-1.5)} is 1.93216E16

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simplify e^{-25(-1.5)}

simplify

e^{- 25 (- 1.5)}

1.93216 E 16

Solution steps

e^{- 25 (- 1.5)}

Apply exponent rule:

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

= \frac{1}{e ^{25 (- 1.5)}}

Remove parentheses:

(- a) = - a

= \frac{1}{e ^{- 25 \cdot 1.5}}

Multiply the numbers:

25 \cdot 1.5 = 37.5

= \frac{1}{e ^{- 37.5}}

Apply exponent rule:

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

e^{- 37.5} = \frac{1}{e ^{37.5}}

= \frac{1}{\frac{1}{e ^{37.5}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{37.5}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{37.5}

e^{37.5} = 1.93216 E 16

= 1.93216 E 16

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- 217 x^{2} x