What is 4.86e^{-0.047(10)} ?

The solution to 4.86e^{-0.047(10)} is 3.03751…

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simplify 4.86e^{-0.047(10)}

simplify

4.86 e^{- 0.047 (10)}

3.03751 \dots

Solution steps

4.86 e^{- 0.047 (10)}

Apply exponent rule:

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

= 4.86 \cdot \frac{1}{e ^{10 \cdot 0.047}}

Multiply the numbers:

0.047 \cdot 10 = 0.47

= 4.86 \cdot \frac{1}{e ^{0.47}}

Multiply fractions:

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

= \frac{1 \cdot 4.86}{e ^{0.47}}

Multiply the numbers:

1 \cdot 4.86 = 4.86

= \frac{4.86}{e ^{0.47}}

e^{0.47} = 1.59999 \dots

= \frac{4.86}{1.59999 \dots}

Divide the numbers:

\frac{4.86}{1.59999 \dots} = 3.03751 \dots

= 3.03751 \dots

2 (2 K g) \cdot (0.2 m)^{2}

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1 0^{- 4} (0.438) (3 \cdot 3)^{2}

\frac{3}{2} \cdot 2

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