What is 5.2*10^{(-5)}(4.15) ?

The solution to 5.2*10^{(-5)}(4.15) is 0.0002158

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simplify 5.2*10^{(-5)}(4.15)

simplify

5.2 \cdot 1 0^{(- 5)} (4.15)

0.0002158

Solution steps

5.2 \cdot 1 0^{- 5} (4.15)

Apply rule:

(a) = a

(4.15) = 4.15

= 5.2 \cdot 1 0^{- 5} \cdot 4.15

Multiply the numbers:

5.2 \cdot 4.15 = 21.58

= 21.58 \cdot 1 0^{- 5}

= 1 0^{- 5} \cdot 21.58

Apply exponent rule:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= \frac{1}{1 0 ^{5}} \cdot 21.58

1 0^{5} = 100000

= \frac{1}{100000} \cdot 21.58

\frac{1}{100000} \cdot 21.58 = \frac{21.58}{100000}

= \frac{21.58}{100000}

Divide the numbers:

\frac{21.58}{100000} = 0.0002158

= 0.0002158

e^{- 0.1307363}

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