How do you simplify $\frac{- 2 m^{6} n^{5}}{- 8 m^{6}}$ $\frac { - 2m ^ { 6} n ^ { 5} } { - 8m ^ { 6} }$ ?

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Answer 1 · 2017-03-31T19:38:19

Divide out common factors leaving
$\frac{n^{5}}{4}$ $n^5/4$

$- 2 m^{6} n^{5} = - 1 \times 2 \times m^{6} \times n^{5}$ $-2 m^6n^5 = -1 xx 2 xx m^6 xx n^5$

$- 8 m^{6} = - 1 \times 2 \times 4 \times m^{6} \times n^{5}$ $-8m^6 = -1 xx 2 xx 4 xx m^6 xx n^5$

The common factors are $- 1 \times 2 \times m^{6}$ $-1 xx 2 xx m^6$

$\frac{n - 1 \times 2 \times m^{6} \times n^{5}}{- 1 \times 2 \times m^{6}} = n^{5}$ $(n-1 xx 2 xx m^6 xx n^5) /( -1 xx 2 xx m^6) = n^5$

$\frac{- 1 \times 2 \times 4 \times m^{6}}{- 1 \times 2 \times m^{6}} = 4$ $(-1 xx 2 xx 4 xx m^6)/(-1 xx 2 xx m^6) = 4$ so the result is

$\frac{n^{5}}{4}$ $n^5/4$

How do you simplify −2m6n5−8m6\frac { - 2m ^ { 6} n ^ { 5} } { - 8m ^ { 6} }?