What is 64*e^{-0.231*45} ?

The solution to 64*e^{-0.231*45} is 0.00195…

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simplify 64e^{-0.23145}

simplify

64 \cdot e^{- 0.231 \cdot 45}

0.00195 \dots

Solution steps

64 e^{- 0.231 \cdot 45}

Apply exponent rule:

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

= 64 \cdot \frac{1}{e ^{45 \cdot 0.231}}

Multiply the numbers:

0.231 \cdot 45 = 10.395

= 64 \cdot \frac{1}{e ^{10.395}}

Multiply fractions:

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

= \frac{1 \cdot 64}{e ^{10.395}}

Multiply the numbers:

1 \cdot 64 = 64

= \frac{64}{e ^{10.395}}

e^{10.395} = 32695.73760 \dots

= \frac{64}{32695.73760 \dots}

Divide the numbers:

\frac{64}{32695.73760 \dots} = 0.00195 \dots

= 0.00195 \dots

3 e^{l n (y^{3})} y^{- 2}

(1222.84) (1 + 0.01486)^{- 5}

8.96 \cdot 1 0^{- 6}

5.92 \cdot 1 0^{- 2}

14.3 \cdot 1 0^{- 3}