simplify 3e^{-5x^2}

Solution

simplify

3 e^{- 5 x^{2}}

\frac{3}{e ^{5 x^{2}}}

Solution steps

3 e^{- 5 x^{2}}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{5 x^{2}}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{5 x^{2}}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{5 x^{2}}}

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