Simplify (21v^-6)÷(-7v^-6)

$21 v^{- 6} \div (- 7 v^{- 6})$

Rewrite the division as a fraction.

$\frac{21 v^{- 6}}{- 7 v^{- 6}}$

Cancel the common factor of $21$ and $- 7$ .

Factor $7$ out of $21 v^{- 6}$ .

$\frac{7 (3 v^{- 6})}{- 7 v^{- 6}}$

Cancel the common factors.

Factor $7$ out of $- 7 v^{- 6}$ .

$\frac{7 (3 v^{- 6})}{7 (- v^{- 6})}$

Cancel the common factor.

$\frac{7 (3 v^{- 6})}{7 (- v^{- 6})}$

Rewrite the expression.

$\frac{3 v^{- 6}}{- v^{- 6}}$

Cancel the common factor of $v^{- 6}$ .

Cancel the common factor.

$\frac{3 v^{- 6}}{- v^{- 6}}$

Rewrite the expression.

$\frac{3}{- 1}$

Move the negative one from the denominator of $\frac{3}{- 1}$ .

$- 1 \cdot 3$

Multiply $- 1$ by $3$ .

$- 3$