What is (2e^{-4})(2.5e^{-5}) ?

The solution to (2e^{-4})(2.5e^{-5}) is 0.00061…

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simplify (2e^{-4})(2.5e^{-5})

simplify

(2 e^{- 4}) (2.5 e^{- 5})

0.00061 \dots

Solution steps

(2 e^{- 4}) (2.5 e^{- 5})

Apply exponent rule:

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

e^{- 4} e^{- 5} = e^{- 4 - 5}

= 2 \cdot 2.5 e^{- 4 - 5}

Subtract the numbers:

- 4 - 5 = - 9

= 2 \cdot 2.5 e^{- 9}

Apply exponent rule:

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

e^{- 9} = \frac{1}{e ^{9}}

= 2 \cdot 2.5 \cdot \frac{1}{e ^{9}}

Multiply fractions:

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

= 2.5 \cdot \frac{1 \cdot 2}{e ^{9}}

Multiply the numbers:

1 \cdot 2 = 2

= 2.5 \cdot \frac{2}{e ^{9}}

Multiply fractions:

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

= \frac{2 \cdot 2.5}{e ^{9}}

Multiply the numbers:

2 \cdot 2.5 = 5

= \frac{5}{e ^{9}}

Convert element to a decimal form

e^{9} = 8103.08392 \dots

= \frac{5}{8103.08392 \dots}

Divide the numbers:

\frac{5}{8103.08392 \dots} = 0.00061 \dots

= 0.00061 \dots

- lo g_{10} (1.9) \cdot 1 0^{- 19}

\frac{( e ^{x} )}{e ^{1 + x}}

100 e^{(- 5.0765 x 1 0^{- 3})} x^{24}

21 (0.5) L^{- 0.5} K^{0.5}

1.26 \cdot 1 0^{- 13}