What is 5(e^{-(170)/(32.9)}) ?

The solution to 5(e^{-(170)/(32.9)}) is 0.02850…

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simplify 5(e^{-(170)/(32.9)})

simplify

5 (e^{- \frac{170}{32.9}})

0.02850 \dots

Solution steps

5 (e^{- \frac{170}{32.9}})

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{\frac{170}{32.9}}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{\frac{170}{32.9}}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{\frac{170}{32.9}}}

e^{\frac{170}{32.9}} = 175.41827 \dots

= \frac{5}{175.41827 \dots}

Divide the numbers:

\frac{5}{175.41827 \dots} = 0.02850 \dots

= 0.02850 \dots

1.1282000000000 \dots e^{- 5}

((t^{2} + 2, 3, t - 1) \circ 2 t)

\frac{9.81 kn}{m ^{3}} (3.669 m^{2}) (2.5 m)

3.5 \cdot 1 0^{- 3} \cdot 68.4 6^{0.66}

3000 (1 + \frac{0.05}{4})^{- 4}