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Popular >

simplify 7.5*10^{-27}

Solution

simplify

7.5 \cdot 1 0^{- 27}

Solution

\frac{3}{5 ^{26} \cdot 268435456}

+1

Decimal Notation

7.5 E - 27

Solution steps

7.5 \cdot 1 0^{- 27}

Apply exponent rule:

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

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

= 7.5 \cdot \frac{1}{1 0 ^{27}}

7.5 \cdot \frac{1}{1 0 ^{27}} = \frac{7.5}{1 0 ^{27}}

= \frac{7.5}{1 0 ^{27}}

\frac{7.5}{1 0 ^{27}} = \frac{75}{10 \cdot 1 0 ^{27}}

= \frac{75}{10 \cdot 1 0 ^{27}}

10 \cdot 1 0^{27} = 1 0^{28}

= \frac{75}{1 0 ^{28}}

Factor

75 : 5^{2} \cdot 3

= \frac{5 ^{2} \cdot 3}{1 0 ^{28}}

Factor

1 0^{28} : 5^{28} \cdot 2^{28}

= \frac{5 ^{2} \cdot 3}{5 ^{28} \cdot 2 ^{28}}

\frac{5 ^{2}}{5 ^{28}} = \frac{1}{5 ^{26}}

= \frac{3}{5 ^{26} \cdot 2 ^{28}}

2^{28} = 268435456

= \frac{3}{5 ^{26} \cdot 268435456}

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Frequently Asked Questions (FAQ)

What is 7.5*10^{-27} ?
The solution to 7.5*10^{-27} is 3/(5^{26)*268435456}