What is (10^{-21.6})/(10^{-8.6)} ?

The solution to (10^{-21.6})/(10^{-8.6)} is 1/(10^{13)}

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simplify (10^{-21.6})/(10^{-8.6)}

simplify

\frac{1 0 ^{- 21.6}}{1 0 ^{- 8.6}}

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

Decimal Notation

1.0 E - 13

Solution steps

\frac{1 0 ^{- 21.6}}{1 0 ^{- 8.6}}

Apply exponent rule:

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

= 1 0^{- 21.6 - (- 8.6)}

Apply rule

- (- a) = a

= 1 0^{- 21.6 + 8.6}

Add/Subtract the numbers:

- 21.6 + 8.6 = - 13

= 1 0^{- 13}

Apply exponent rule:

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

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

\frac{x ^{2} - 9}{x ^{2} + 5 x + 6}

\frac{x + 3}{x ^{2} + 2 x - 3}

\frac{x ^{2} - 3 x - 18}{x ^{2} - 15 x + 54}

\frac{7}{8} + \frac{7}{10}

- 2 x^{2} - 2

What is (10^{-21.6})/(10^{-8.6)} ?
The solution to (10^{-21.6})/(10^{-8.6)} is 1/(10^{13)}