What is 3*10^{-10}0.45 ?

The solution to 3*10^{-10}0.45 is (27)/(20*10^{10)}

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simplify 3*10^{-10}0.45

simplify

3 \cdot 1 0^{- 10} 0.45

\frac{27}{20 \cdot 1 0 ^{10}}

Decimal Notation

1.35 E - 10

Solution steps

3 \cdot 1 0^{- 10} \cdot 0.45

Multiply the numbers:

3 \cdot 0.45 = 1.35

= 1.35 \cdot 1 0^{- 10}

= 1 0^{- 10} \cdot 1.35

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= \frac{1}{1 0 ^{10}} \cdot 1.35

\frac{1}{1 0 ^{10}} \cdot 1.35 = \frac{1.35}{1 0 ^{10}}

= \frac{1.35}{1 0 ^{10}}

\frac{1.35}{1 0 ^{10}} = \frac{135}{100 \cdot 1 0 ^{10}}

= \frac{135}{100 \cdot 1 0 ^{10}}

Factor the number:

135 = 5 \cdot 27

= \frac{5 \cdot 27}{100 \cdot 1 0 ^{10}}

Factor the number:

100 = 5 \cdot 20

= \frac{5 \cdot 27}{5 \cdot 20 \cdot 1 0 ^{10}}

Cancel the common factor:

5

= \frac{27}{20 \cdot 1 0 ^{10}}

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