What is 5000e^{-0.07(4)} ?

The solution to 5000e^{-0.07(4)} is 3778.91870…

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simplify 5000e^{-0.07(4)}

simplify

5000 e^{- 0.07 (4)}

3778.91870 \dots

Solution steps

5000 e^{- 0.07 (4)}

Apply exponent rule:

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

= 5000 \cdot \frac{1}{e ^{4 \cdot 0.07}}

Multiply the numbers:

0.07 \cdot 4 = 0.28

= 5000 \cdot \frac{1}{e ^{0.28}}

Multiply fractions:

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

= \frac{1 \cdot 5000}{e ^{0.28}}

Multiply the numbers:

1 \cdot 5000 = 5000

= \frac{5000}{e ^{0.28}}

e^{0.28} = 1.32312 \dots

= \frac{5000}{1.32312 \dots}

Divide the numbers:

\frac{5000}{1.32312 \dots} = 3778.91870 \dots

= 3778.91870 \dots

(2 + 3)^{5} \cdot (2 - 3)^{5}

(2 a) (9 a^{3})

(30.1 \frac{k N}{m ^{2}}) \cdot 2.8 m \cdot 0.15 m

0.241 \cdot 14.095 \cdot 1 0^{- 3}

(\frac{1}{524}) \cdot e^{- \frac{1428}{524}}