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Popular >

simplify 0.3(e^{-4})

Solution

simplify

0.3 (e^{- 4})

Solution

0.00549 \dots

Solution steps

0.3 (e^{- 4})

Apply exponent rule:

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

= 0.3 \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 0.3}{e ^{4}}

Multiply the numbers:

1 \cdot 0.3 = 0.3

= \frac{0.3}{e ^{4}}

Convert element to a decimal form

e^{4} = 54.59815 \dots

= \frac{0.3}{54.59815 \dots}

Divide the numbers:

\frac{0.3}{54.59815 \dots} = 0.00549 \dots

= 0.00549 \dots

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(2.1 \cdot 1 0^{6}) (4 \cdot 1 0^{3})

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20 \cdot e^{- 0.8 (5)}

simplify e^{-2*4.85*10^9}simplify

e^{- 2 \cdot 4.85 \cdot 1 0^{9}}

simplify (0.03*10^3)*(2.5*10^{-5})*(3.8*10^{-9})simplify

(0.03 \cdot 1 0^{3}) \cdot (2.5 \cdot 1 0^{- 5}) \cdot (3.8 \cdot 1 0^{- 9})

simplify 2/3 (sqrt(2))^{3/2}simplify

\frac{2}{3} (2)^{\frac{3}{2}}

Frequently Asked Questions (FAQ)

What is 0.3(e^{-4}) ?
The solution to 0.3(e^{-4}) is 0.00549…