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Popular >

simplify 9.8*10^{-26}

Solution

simplify

9.8 \cdot 1 0^{- 26}

Solution

\frac{49}{5 ^{27} \cdot 67108864}

+1

Decimal Notation

9.8 E - 26

Solution steps

9.8 \cdot 1 0^{- 26}

Apply exponent rule:

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

1 0^{- 26} = \frac{1}{1 0 ^{26}}

= 9.8 \cdot \frac{1}{1 0 ^{26}}

9.8 \cdot \frac{1}{1 0 ^{26}} = \frac{9.8}{1 0 ^{26}}

= \frac{9.8}{1 0 ^{26}}

\frac{9.8}{1 0 ^{26}} = \frac{98}{10 \cdot 1 0 ^{26}}

= \frac{98}{10 \cdot 1 0 ^{26}}

10 \cdot 1 0^{26} = 1 0^{27}

= \frac{98}{1 0 ^{27}}

Factor the number:

98 = 2 \cdot 49

= \frac{2 \cdot 49}{1 0 ^{27}}

Factor

1 0^{27} : 2^{27} \cdot 5^{27}

= \frac{2 \cdot 49}{2 ^{27} \cdot 5 ^{27}}

\frac{2}{2 ^{27}} = \frac{1}{2 ^{26}}

= \frac{49}{2 ^{26} \cdot 5 ^{27}}

2^{26} = 67108864

= \frac{49}{5 ^{27} \cdot 67108864}

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Frequently Asked Questions (FAQ)

What is 9.8*10^{-26} ?
The solution to 9.8*10^{-26} is (49)/(5^{27)*67108864}