What is 101.3e^{-0.00015(3000)} ?

The solution to 101.3e^{-0.00015(3000)} is 64.59173…

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simplify 101.3e^{-0.00015(3000)}

simplify

101.3 e^{- 0.00015 (3000)}

64.59173 \dots

Solution steps

101.3 e^{- 0.00015 (3000)}

Apply exponent rule:

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

= 101.3 \cdot \frac{1}{e ^{3000 \cdot 0.00015}}

Multiply the numbers:

0.00015 \cdot 3000 = 0.45

= 101.3 \cdot \frac{1}{e ^{0.45}}

Multiply fractions:

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

= \frac{1 \cdot 101.3}{e ^{0.45}}

Multiply the numbers:

1 \cdot 101.3 = 101.3

= \frac{101.3}{e ^{0.45}}

e^{0.45} = 1.56831 \dots

= \frac{101.3}{1.56831 \dots}

Divide the numbers:

\frac{101.3}{1.56831 \dots} = 64.59173 \dots

= 64.59173 \dots

\frac{( ( 2 π ) ^{2} )}{198 2 ^{2}}

(5 3 x)^{2}

(5 s + 1)^{2} (0.25 s + 1)^{2}

e^{- 1 \cdot 0.5 \cdot 7}

(x + y) x^{2} - y^{2}

What is 101.3e^{-0.00015(3000)} ?
The solution to 101.3e^{-0.00015(3000)} is 64.59173…