How do you simplify $(m^7n^2)/(m^4n^6)$ ?

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Answer 1 · 2015-06-21T13:46:23

$= color(blue)(m^3n^-4$

$(m^7n^2)/(m^4n^6)$

Note: $color(blue)(a^m/a^n = a^(m-n)$
Applying the above to the exponents of $m$ and $n$

$=m^color(blue)((7-4)) . n^color(blue)((2-6)$
$= color(blue)(m^3n^-4$

How do you simplify (m^7n^2)/(m^4n^6)(m^7n^2)/(m^4n^6)?