What is 0.045*(2*10e^{-2}) ?

The solution to 0.045*(2*10e^{-2}) is 0.12180…

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simplify 0.045(210e^{-2})

simplify

0.045 \cdot (2 \cdot 10 e^{- 2})

0.12180 \dots

Solution steps

0.045 (2 \cdot 10 e^{- 2})

Apply exponent rule:

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

= 2 \cdot 10 \cdot 0.045 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= 0.045 \cdot \frac{1 \cdot 2 \cdot 10}{e ^{2}}

Multiply the numbers:

1 \cdot 2 \cdot 10 = 20

= 0.045 \cdot \frac{20}{e ^{2}}

Multiply fractions:

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

= \frac{20 \cdot 0.045}{e ^{2}}

Multiply the numbers:

20 \cdot 0.045 = 0.9

= \frac{0.9}{e ^{2}}

Convert element to a decimal form

e^{2} = 7.38905 \dots

= \frac{0.9}{7.38905 \dots}

Divide the numbers:

\frac{0.9}{7.38905 \dots} = 0.12180 \dots

= 0.12180 \dots

(- \frac{e ^{2}}{2}) (e^{- 1})

- 0.02 \cdot 1 0^{- 2}

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- 6 x^{3} y^{3}

\frac{3}{2} 5^{1}