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Popular >

simplify 9.8*10^{-12}

Solution

simplify

9.8 \cdot 1 0^{- 12}

Solution

\frac{49}{5 ^{13} \cdot 4096}

+1

Decimal Notation

9.8 E - 12

Solution steps

9.8 \cdot 1 0^{- 12}

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= 9.8 \cdot \frac{1}{1 0 ^{12}}

9.8 \cdot \frac{1}{1 0 ^{12}} = \frac{9.8}{1 0 ^{12}}

= \frac{9.8}{1 0 ^{12}}

\frac{9.8}{1 0 ^{12}} = \frac{98}{10 \cdot 1 0 ^{12}}

= \frac{98}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{98}{1 0 ^{13}}

Factor the number:

98 = 2 \cdot 49

= \frac{2 \cdot 49}{1 0 ^{13}}

Factor

1 0^{13} : 2^{13} \cdot 5^{13}

= \frac{2 \cdot 49}{2 ^{13} \cdot 5 ^{13}}

\frac{2}{2 ^{13}} = \frac{1}{2 ^{12}}

= \frac{49}{2 ^{12} \cdot 5 ^{13}}

2^{12} = 4096

= \frac{49}{5 ^{13} \cdot 4096}

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Frequently Asked Questions (FAQ)

What is 9.8*10^{-12} ?
The solution to 9.8*10^{-12} is (49)/(5^{13)*4096}