What is (1.6021e^{-19})(140e^3) ?

The solution to (1.6021e^{-19})(140e^3) is 0.00002…

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simplify (1.6021e^{-19})(140e^3)

simplify

(1.6021 e^{- 19}) (140 e^{3})

0.00002 \dots

Solution steps

(1.6021 e^{- 19}) (140 e^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 19} e^{3} = e^{- 19 + 3}

= 1.6021 \cdot 140 e^{- 19 + 3}

Add/Subtract the numbers:

- 19 + 3 = - 16

= 1.6021 \cdot 140 e^{- 16}

Apply exponent rule:

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

e^{- 16} = \frac{1}{e ^{16}}

= 140 \cdot 1.6021 \cdot \frac{1}{e ^{16}}

Multiply fractions:

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

= 1.6021 \cdot \frac{1 \cdot 140}{e ^{16}}

Multiply the numbers:

1 \cdot 140 = 140

= 1.6021 \cdot \frac{140}{e ^{16}}

Multiply fractions:

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

= \frac{140 \cdot 1.6021}{e ^{16}}

Multiply the numbers:

140 \cdot 1.6021 = 224.294

= \frac{224.294}{e ^{16}}

Convert element to a decimal form

e^{16} = 8886110.52050 \dots

= \frac{224.294}{8886110.52050 \dots}

Divide the numbers:

\frac{224.294}{8886110.52050 \dots} = 0.00002 \dots

= 0.00002 \dots

z^{2} (x^{2} - 2 x + 1)^{2}

(4 x^{2}) (10 x^{7}) (3 x^{4})

e^{- \frac{t}{6}}

(e^{- \frac{1}{7} t}) (e^{- s t})

0.014 \cdot 1874161 x 1 0^{- 6}

What is (1.6021e^{-19})(140e^3) ?
The solution to (1.6021e^{-19})(140e^3) is 0.00002…