How do you simplify (t^2(t-11)^4)/(t^5(t-11)^2)?

Sep 15, 2016

$\frac{{\left(t - 11\right)}^{2}}{{t}^{3}}$

Explanation:

We have: $\frac{{t}^{2} {\left(t - 11\right)}^{4}}{{t}^{5} {\left(t - 11\right)}^{2}}$

Using the laws of exponents:

$= {t}^{2 - 5} \cdot {\left(t - 11\right)}^{4 - 2}$

$= {t}^{- 3} \cdot {\left(t - 11\right)}^{2}$

$= \frac{{\left(t - 11\right)}^{2}}{{t}^{3}}$