Simplify ((9m^4n^10)/(-3m^2n^5))-1

$(\frac{9 m^{4} n^{10}}{- 3 m^{2} n^{5}}) - 1$

Step 1

Cancel the common factor of $9$ and $- 3$ .

Factor $3$ out of $9 m^{4} n^{10}$ .

$\frac{3 (3 m^{4} n^{10})}{- 3 m^{2} n^{5}} - 1$

Cancel the common factors.

Factor $3$ out of $- 3 m^{2} n^{5}$ .

$\frac{3 (3 m^{4} n^{10})}{3 (- m^{2} n^{5})} - 1$

Cancel the common factor.

$\frac{3 (3 m^{4} n^{10})}{3 (- m^{2} n^{5})} - 1$

Rewrite the expression.

$\frac{3 m^{4} n^{10}}{- m^{2} n^{5}} - 1$

Step 2

Cancel the common factor of $m^{4}$ and $m^{2}$ .

Factor $m^{2}$ out of $3 m^{4} n^{10}$ .

$\frac{m^{2} (3 m^{2} n^{10})}{- m^{2} n^{5}} - 1$

Cancel the common factors.

Factor $m^{2}$ out of $- m^{2} n^{5}$ .

$\frac{m^{2} (3 m^{2} n^{10})}{m^{2} (- 1 n^{5})} - 1$

Cancel the common factor.

$\frac{m^{2} (3 m^{2} n^{10})}{m^{2} (- 1 n^{5})} - 1$

Rewrite the expression.

$\frac{3 m^{2} n^{10}}{- 1 n^{5}} - 1$

Step 3

Cancel the common factor of $n^{10}$ and $n^{5}$ .

Factor $n^{5}$ out of $3 m^{2} n^{10}$ .

$\frac{n^{5} (3 m^{2} n^{5})}{- 1 n^{5}} - 1$

Move the negative one from the denominator of $\frac{3 m^{2} n^{5}}{- 1}$ .

$- 1 \cdot (3 m^{2} n^{5}) - 1$

Step 4

Rewrite $- 1 \cdot (3 m^{2} n^{5})$ as $- (3 m^{2} n^{5})$ .

$- (3 m^{2} n^{5}) - 1$

Step 5

Multiply $3$ by $- 1$ .

$- 3 m^{2} n^{5} - 1$