Divide (42x^9y^2)/(-7x^5y^2)

$\frac{42 x^{9} y^{2}}{- 7 x^{5} y^{2}}$

Step 1

Cancel the common factor of $42$ and $- 7$ .

Factor $7$ out of $42 x^{9} y^{2}$ .

$\frac{7 (6 x^{9} y^{2})}{- 7 x^{5} y^{2}}$

Cancel the common factors.

Factor $7$ out of $- 7 x^{5} y^{2}$ .

$\frac{7 (6 x^{9} y^{2})}{7 (- x^{5} y^{2})}$

Cancel the common factor.

$\frac{7 (6 x^{9} y^{2})}{7 (- x^{5} y^{2})}$

Rewrite the expression.

$\frac{6 x^{9} y^{2}}{- x^{5} y^{2}}$

$\frac{6 x^{9} y^{2}}{- x^{5} y^{2}}$

$\frac{6 x^{9} y^{2}}{- x^{5} y^{2}}$

Step 2

Cancel the common factor of $x^{9}$ and $x^{5}$ .

Factor $x^{5}$ out of $6 x^{9} y^{2}$ .

$\frac{x^{5} (6 x^{4} y^{2})}{- x^{5} y^{2}}$

Cancel the common factors.

Factor $x^{5}$ out of $- x^{5} y^{2}$ .

$\frac{x^{5} (6 x^{4} y^{2})}{x^{5} (- 1 y^{2})}$

Cancel the common factor.

$\frac{x^{5} (6 x^{4} y^{2})}{x^{5} (- 1 y^{2})}$

Rewrite the expression.

$\frac{6 x^{4} y^{2}}{- 1 y^{2}}$

$\frac{6 x^{4} y^{2}}{- 1 y^{2}}$

$\frac{6 x^{4} y^{2}}{- 1 y^{2}}$

Step 3

Cancel the common factor of $y^{2}$ .

Cancel the common factor.

$\frac{6 x^{4} y^{2}}{- 1 y^{2}}$

Rewrite the expression.

$\frac{6 x^{4}}{- 1}$

Move the negative one from the denominator of $\frac{6 x^{4}}{- 1}$ .

$- 1 \cdot (6 x^{4})$

$- 1 \cdot (6 x^{4})$

Step 4

Rewrite $- 1 \cdot (6 x^{4})$ as $- (6 x^{4})$ .

$- (6 x^{4})$

Step 5

Multiply $6$ by $- 1$ .

$- 6 x^{4}$

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