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Popular >

simplify 6e^{-0.5(9)}

Solution

simplify

6 e^{- 0.5 (9)}

Solution

0.06665 \dots

Solution steps

6 e^{- 0.5 (9)}

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{9 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 9 = 4.5

= 6 \cdot \frac{1}{e ^{4.5}}

Multiply fractions:

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

= \frac{1 \cdot 6}{e ^{4.5}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{e ^{4.5}}

e^{4.5} = 90.01713 \dots

= \frac{6}{90.01713 \dots}

Divide the numbers:

\frac{6}{90.01713 \dots} = 0.06665 \dots

= 0.06665 \dots

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Frequently Asked Questions (FAQ)

What is 6e^{-0.5(9)} ?
The solution to 6e^{-0.5(9)} is 0.06665…