What is 2.1e^5*e^{(-0.07*100)} ?

The solution to 2.1e^5*e^{(-0.07*100)} is 0.28420…

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simplify 2.1e^5e^{(-0.07100)}

simplify

2.1 e^{5} \cdot e^{(- 0.07 \cdot 100)}

0.28420 \dots

Solution steps

2.1 e^{5} e^{(- 0.07 \cdot 100)}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{5} e^{- 0.07 \cdot 100} = e^{5 - 100 \cdot 0.07}

= 2.1 e^{5 - 0.07 \cdot 100}

e^{5 - 0.07 \cdot 100} = e^{- 2}

= 2.1 e^{- 2}

Convert element to a decimal form

e^{- 2} = 0.13533 \dots

= 0.13533 \dots \cdot 2.1

Multiply the numbers:

2.1 \cdot 0.13533 \dots = 0.28420 \dots

= 0.28420 \dots

π (x^{2})^{2}

\frac{10}{2} \times \frac{2}{2}

(4)^{- 2} ln (4)

5^{- 3}

(3 X + 1)^{2} (- 3 X + 1)^{2}

What is 2.1e^5*e^{(-0.07*100)} ?
The solution to 2.1e^5*e^{(-0.07*100)} is 0.28420…