What is 10e^{-0.05(6)} ?

The solution to 10e^{-0.05(6)} is 7.40818…

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simplify 10e^{-0.05(6)}

simplify

10 e^{- 0.05 (6)}

7.40818 \dots

Solution steps

10 e^{- 0.05 (6)}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{6 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 6 = 0.3

= 10 \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{0.3}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{0.3}}

e^{0.3} = 1.34985 \dots

= \frac{10}{1.34985 \dots}

Divide the numbers:

\frac{10}{1.34985 \dots} = 7.40818 \dots

= 7.40818 \dots

100 e^{- 0.005 \cdot 24}

\frac{5 0 ^{3}}{1. 5 ^{3}}

(0.001) \cdot (6 \cdot 1 0^{- 5})

- 0.24 (5)^{- 2}

3 x y^{2} (2^{^{'}} x^{2} y)