What is 500e^{-0.0244(10)} ?

The solution to 500e^{-0.0244(10)} is 391.74381…

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simplify 500e^{-0.0244(10)}

simplify

500 e^{- 0.0244 (10)}

391.74381 \dots

Solution steps

500 e^{- 0.0244 (10)}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{10 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 10 = 0.244

= 500 \cdot \frac{1}{e ^{0.244}}

Multiply fractions:

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

= \frac{1 \cdot 500}{e ^{0.244}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{0.244}}

e^{0.244} = 1.27634 \dots

= \frac{500}{1.27634 \dots}

Divide the numbers:

\frac{500}{1.27634 \dots} = 391.74381 \dots

= 391.74381 \dots

10 2^{2}

2^{\frac{1}{3}}

2.5 \times 1 0^{- 4}