simplify 4e^{-4(3)}

Solution

simplify

4 e^{- 4 (3)}

\frac{4}{e ^{12}}

Decimal Notation

0.00002 \dots

Solution steps

4 e^{- 4 (3)}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{4 \cdot 3}}

Multiply the numbers:

4 \cdot 3 = 12

= 4 \cdot \frac{1}{e ^{12}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{12}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{12}}

e^{- 19700.7 \cdot 0.003}

\frac{( ln ( 0.01 ) ) ^{2}}{( ln ( 0.01 ) ) ^{2} + π ^{2}}

\frac{- 160}{10}

e^{- 5.80476}