How do you simplify #\frac { x ^ { - 4} y ^ { 7} z ^ { - 1} } { x ^ { 3} y ^ { - 8} z ^ { 6} }#?

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Answer 1 · 2017-05-14T03:13:43

See below.

Remember that #x^-a=1/x^a#

So #x^-4=1/x^4#

Also, #x^a/x^b=x^(a-b)#

Now we can simplify using these formulas.

#\frac { x ^ { - 4} y ^ { 7} z ^ { - 1} } { x ^ { 3} y ^ { - 8} z ^ { 6} }=\frac {y ^ { 15} } { x ^ { 7} z ^ { 7} }#

Answer 2 · 2017-05-14T03:22:17

#color(blue)(y^15/(x^7z^7)#

#(x^-4y^7z^-1)/(x^3y^-8z^6)#

#:.=x^(-4-3)y^(7+8)z^(-1-6)#

#:.=x^-7y^15z^-7#

#:.color(blue)(=y^15/(x^7z^7)#