How do you simplify $\frac{x^{3} y^{2} z^{6}}{z^{5} x^{2} y}$ $(x^3y^2z^6)/(z^5x^2y)$ ?

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How do you simplify $\frac{x^{3} y^{2} z^{6}}{z^{5} x^{2} y}$ $(x^3y^2z^6)/(z^5x^2y)$ ?

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Answer 1 · 2018-05-10T02:27:27

$x y z$ $xyz$

Explanation:

When you divide exponents with the same base, you simply subtract the exponents. So subtract the indices of each variable at a time:
$x^{3} \div x^{2} = x (3 - 2 = 1)$ $x^3divx^2 =x " " (3-2=1)$
$y^{2} \div y = y (2 - 1 = 1)$ $y^2divy=y " "(2-1=1)$
$z^{6} \div z^{5} = z (6 - 5 = 1)$ $z^6divz^5=z" " (6-5=1)$

This was pretty easy since there were no negatives.

(You always subtract the top number/numerator minus bottom number/denominator)

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$x y z$ $xyz$ .

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How do you simplify $\frac{x^{3} y^{2} z^{6}}{z^{5} x^{2} y}$ $(x^3y^2z^6)/(z^5x^2y)$ ?

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How do you simplify $\frac{x^{3} y^{2} z^{6}}{z^{5} x^{2} y}$ $(x^3y^2z^6)/(z^5x^2y)$ ?