simplify 3e^{-3(3)}

Solution

simplify

3 e^{- 3 (3)}

\frac{3}{e ^{9}}

Decimal Notation

0.00037 \dots

Solution steps

3 e^{- 3 (3)}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{3 \cdot 3}}

Multiply the numbers:

3 \cdot 3 = 9

= 3 \cdot \frac{1}{e ^{9}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{9}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{9}}

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