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Popular >

simplify 7.4*10^{-10}

Solution

simplify

7.4 \cdot 1 0^{- 10}

Solution

\frac{37}{50000000000}

+1

Solution steps

7.4 \cdot 1 0^{- 10}

Apply exponent rule:

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

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

= 7.4 \cdot \frac{1}{1 0 ^{10}}

7.4 \cdot \frac{1}{1 0 ^{10}} = \frac{7.4}{1 0 ^{10}}

= \frac{7.4}{1 0 ^{10}}

\frac{7.4}{1 0 ^{10}} = \frac{74}{10 \cdot 1 0 ^{10}}

= \frac{74}{10 \cdot 1 0 ^{10}}

10 \cdot 1 0^{10} = 1 0^{11}

= \frac{74}{1 0 ^{11}}

Factor the number:

74 = 2 \cdot 37

= \frac{2 \cdot 37}{1 0 ^{11}}

Factor

1 0^{11} : 2^{11} \cdot 5^{11}

= \frac{2 \cdot 37}{2 ^{11} \cdot 5 ^{11}}

\frac{2}{2 ^{11}} = \frac{1}{2 ^{10}}

= \frac{37}{2 ^{10} \cdot 5 ^{11}}

2^{10} \cdot 5^{11} = 50000000000

= \frac{37}{50000000000}

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Frequently Asked Questions (FAQ)

What is 7.4*10^{-10} ?
The solution to 7.4*10^{-10} is 37/50000000000