Question 143880
Simplify:
{{{(3x^3y^4highlight(z^(-2)))/6highlight(x^(-1))y^3highlight(z^(-3))}}} First, make the negative exponents positive by moving them up or down as needed.
{{{(3x^3y^4highlight(x^1)highlight(z^3))/6y^3highlight(z^2)}}} Now simplify. {{{(x^3)(x^1) = x^(3+1)}}}={{{x^4}}}
{{{3x^4y^4z^3/6y^3z^2}}} Remember, when dividing with exponents, you subtract the exponents of like bases.
{{{3x^4y^((4-3))z^((3-2))/6}}} Simplify some more.
{{{(x^4yz)/2}}}...and there you are!