What is 7.5*(10^{-27})/(0.25)*10^{-29} ?

The solution to 7.5*(10^{-27})/(0.25)*10^{-29} is 3/(2.5*5^{54)*2^{56}}

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simplify 7.5(10^{-27})/(0.25)10^{-29}

simplify

7.5 \cdot \frac{1 0 ^{- 27}}{0.25} \cdot 1 0^{- 29}

\frac{3}{2.5 \cdot 5 ^{54} \cdot 2 ^{56}}

Decimal Notation

3.0 E - 55

Solution steps

7.5 \cdot \frac{1 0 ^{- 27}}{0.25} \cdot 1 0^{- 29}

Apply exponent rule:

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

1 0^{- 29} = \frac{1}{1 0 ^{29}}

= 7.5 \cdot \frac{1 0 ^{- 27}}{0.25} \cdot \frac{1}{1 0 ^{29}}

\frac{1 0 ^{- 27}}{0.25} = \frac{1}{1 0 ^{27} \cdot 0.25}

= 7.5 \cdot \frac{1}{1 0 ^{27} \cdot 0.25} \cdot \frac{1}{1 0 ^{29}}

7.5 \cdot \frac{1}{1 0 ^{27} \cdot 0.25} \cdot \frac{1}{1 0 ^{29}} = \frac{7.5}{1 0 ^{56} \cdot 0.25}

= \frac{7.5}{1 0 ^{56} \cdot 0.25}

\frac{7.5}{1 0 ^{56} \cdot 0.25} = \frac{75}{2.5 \cdot 1 0 ^{56}}

= \frac{75}{2.5 \cdot 1 0 ^{56}}

Factor

75 : 5^{2} \cdot 3

= \frac{5 ^{2} \cdot 3}{2.5 \cdot 1 0 ^{56}}

Factor

1 0^{56} : 5^{56} \cdot 2^{56}

= \frac{5 ^{2} \cdot 3}{2.5 \cdot 5 ^{56} \cdot 2 ^{56}}

\frac{5 ^{2}}{5 ^{56}} = \frac{1}{5 ^{54}}

= \frac{3}{2.5 \cdot 5 ^{54} \cdot 2 ^{56}}

\frac{2 ( 2651 - 221 21 )}{8111}

1 0^{n} (- \frac{1}{10})^{n}

x^{2} (4 x)

2 + 2 \cdot 2 - 2

What is 7.5*(10^{-27})/(0.25)*10^{-29} ?
The solution to 7.5*(10^{-27})/(0.25)*10^{-29} is 3/(2.5*5^{54)*2^{56}}