What is 100e^{-0.22(30)} ?

The solution to 100e^{-0.22(30)} is 0.13603…

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simplify 100e^{-0.22(30)}

simplify

100 e^{- 0.22 (30)}

0.13603 \dots

Solution steps

100 e^{- 0.22 (30)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{30 \cdot 0.22}}

Multiply the numbers:

0.22 \cdot 30 = 6.6

= 100 \cdot \frac{1}{e ^{6.6}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{6.6}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{6.6}}

e^{6.6} = 735.09518 \dots

= \frac{100}{735.09518 \dots}

Divide the numbers:

\frac{100}{735.09518 \dots} = 0.13603 \dots

= 0.13603 \dots

1.004 \cdot 1 0^{- 8} \cdot (1.5 \cdot 100)^{2}

(3 x^{2}) (9 x^{6})

2 \cdot 1 0^{- 3} \cdot 0.1257 \cdot 5

10 \cdot e^{- 2}

e^{- \frac{1500}{2}}