What is 4e^{(-0.03*23)} ?

The solution to 4e^{(-0.03*23)} is 2.00630…

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simplify 4e^{(-0.03*23)}

simplify

4 e^{(- 0.03 \cdot 23)}

2.00630 \dots

Solution steps

4 e^{(- 0.03 \cdot 23)}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{23 \cdot 0.03}}

Multiply the numbers:

0.03 \cdot 23 = 0.69

= 4 \cdot \frac{1}{e ^{0.69}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{0.69}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{0.69}}

e^{0.69} = 1.99371 \dots

= \frac{4}{1.99371 \dots}

Divide the numbers:

\frac{4}{1.99371 \dots} = 2.00630 \dots

= 2.00630 \dots

\frac{1. 3 ^{2}}{0. 3 ^{2}}

1 0^{- 4.3} (0.3)

0.5 \cdot 2^{x} \cdot 1

1.2558 (3 (1 0^{9}))^{- 0.0178}

(e^{- y})^{2}