How do you simplify $\frac{20 m^{- 3} n^{7}}{4 m n^{- 3} p^{- 4}}$ $(20m^-3n^7)/(4mn^-3p^-4)$ ?

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Answer 1 · 2015-06-05T08:32:45

$\frac{20 m^{- 3} n^{7}}{4 m n^{- 3} p^{- 4}}$ $(20m^-3n^7)/(4mn^-3p^-4)$

$(cancel20m^-3n^7)/(cancel4mn^-3p^-4)$

$= (5m^-3n^7)/(mn^-3p^-4)$

note: $color(blue)(a^m/a^n = a^(m-n) and color(blue)(a^m.a^n = a^(m+n)$

applying the above properties to our expression

$= (5m^((-3-1))n^((7+3)))/(p^-4)$

$= (5m^((-4))n^((10)))/(p^-4)$

note: $color(blue)(1/a^-m = a^m)$

$= color(purple)(5m^-4n^10p^4$

How do you simplify (20m^-3n^7)/(4mn^-3p^-4)20m−3n74mn−3p−4(20m^-3n^7)/(4mn^-3p^-4)?