What is (sqrt(25m^{-12)})/(sqrt(36m^{10))} ?

The solution to (sqrt(25m^{-12)})/(sqrt(36m^{10))} is 5/(6m^{11)}

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simplify (sqrt(25m^{-12)})/(sqrt(36m^{10))}

simplify

\frac{25 m ^{- 12}}{36 m ^{10}}

\frac{5}{6 m ^{11}}

Solution steps

\frac{25 m ^{- 12}}{36 m ^{10}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{25 m ^{- 12}}{36 m ^{10}} = \frac{25 m ^{- 12}}{36 m ^{10}}

= \frac{25 m ^{- 12}}{36 m ^{10}}

Cancel

\frac{25 m ^{- 12}}{36 m ^{10}} : \frac{25}{36 m ^{22}}

= \frac{25}{36 m ^{22}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{25}{36 m ^{22}}

25 = 5

= \frac{5}{36 m ^{22}}

Simplify

36 m^{22} : 6 m^{11}

= \frac{5}{6 m ^{11}}

\frac{9 ^{8}}{9 ^{6}}

\frac{1}{1 + x ^{2}}

4 (a + 5) (a - 3)

- 5 \times 3

(3 x - 2) 2

What is (sqrt(25m^{-12)})/(sqrt(36m^{10))} ?
The solution to (sqrt(25m^{-12)})/(sqrt(36m^{10))} is 5/(6m^{11)}