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Popular >

simplify 2.4*10^{-10}

Solution

simplify

2.4 \cdot 1 0^{- 10}

Solution

\frac{3}{12500000000}

+1

Decimal Notation

2.4 E - 10

Solution steps

2.4 \cdot 1 0^{- 10}

Apply exponent rule:

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

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

= 2.4 \cdot \frac{1}{1 0 ^{10}}

2.4 \cdot \frac{1}{1 0 ^{10}} = \frac{2.4}{1 0 ^{10}}

= \frac{2.4}{1 0 ^{10}}

\frac{2.4}{1 0 ^{10}} = \frac{24}{10 \cdot 1 0 ^{10}}

= \frac{24}{10 \cdot 1 0 ^{10}}

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

= \frac{24}{1 0 ^{11}}

Factor

24 : 2^{3} \cdot 3

= \frac{2 ^{3} \cdot 3}{1 0 ^{11}}

Factor

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

= \frac{2 ^{3} \cdot 3}{2 ^{11} \cdot 5 ^{11}}

\frac{2 ^{3}}{2 ^{11}} = \frac{1}{2 ^{8}}

= \frac{3}{2 ^{8} \cdot 5 ^{11}}

2^{8} \cdot 5^{11} = 12500000000

= \frac{3}{12500000000}

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Frequently Asked Questions (FAQ)

What is 2.4*10^{-10} ?
The solution to 2.4*10^{-10} is 3/12500000000