What is (1.25*10^{-2})*20mm ?

The solution to (1.25*10^{-2})*20mm is (m^2)/4

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simplify (1.2510^{-2})20mm

simplify

(1.25 \cdot 1 0^{- 2}) \cdot 20 mm

\frac{m ^{2}}{4}

Solution steps

(1.25 \cdot 1 0^{- 2}) \cdot 20 mm

Apply exponent rule:

aa = a^{2}

mm = m^{2}

= 1.25 \cdot 1 0^{- 2} \cdot 20 m^{2}

= 1 0^{- 2} \cdot 1.25 \cdot 20 m^{2}

Multiply the numbers:

1.25 \cdot 20 = 25

= 1 0^{- 2} \cdot 25 m^{2}

1 0^{- 2} = \frac{1}{100}

= \frac{1}{100} \cdot 25 m^{2}

Apply the fraction rule:

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

= \frac{1 \cdot 25 m ^{2}}{100}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25 m ^{2}}{100}

Factor the number:

100 = 25 \cdot 4

= \frac{25 m ^{2}}{25 \cdot 4}

Cancel the common factor:

25

= \frac{m ^{2}}{4}

e^{- l n (- 1 + 2)}

e^{l n (x)} \cdot e^{- l n (x + 1)}

2.0096 \cdot 1 0^{(- 3)}

8.7 \cdot 1 0^{- 13}