PRACTICE WITH [beautiful math coming... please be patient] $\,\displaystyle\frac{x^m}{x^n} = x^{m-n}$

All the exponent laws are stated below, for completeness.
This web exercise gives practice with: [beautiful math coming... please be patient] $$ \frac{x^m}{x^n} = x^{m-n} $$ Here's the motivation for this exponent law: [beautiful math coming... please be patient] $$ \frac{x^5}{x^2} = \frac{x\cdot x\cdot x\cdot x\cdot x}{x\cdot x} = x\cdot x\cdot x = x^3 = x^{5-2} $$

EXPONENT LAWS
Let [beautiful math coming... please be patient] $\,x\,$, $\,y\,$, $\,m\,$, and $\,n\,$ be real numbers, with the following exceptions:
  • a base and exponent cannot simultaneously be zero (since $\,0^0\,$ is undefined);
  • division by zero is not allowed;
  • for non-integer exponents (like $\,\frac12\,$ or $\,0.4\,$), assume that bases are positive.
Then,
$x^mx^n = x^{m+n}$ Verbalize: same base, things multiplied, add the exponents
$\displaystyle \frac{x^m}{x^n} = x^{m-n}$ Verbalize: same base, things divided, subtract the exponents
$(x^m)^n = x^{mn}$ Verbalize: something to a power, to a power; multiply the exponents
$(xy)^m = x^my^m$ Verbalize: product to a power; each factor gets raised to the power
$\displaystyle \left(\frac{x}{y}\right)^m = \frac{x^m}{y^m}$ Verbalize: fraction to a power; both numerator and denominator get raised to the power
EXAMPLE:
$\displaystyle \frac{x^5}{x^3} = x^p\,$ where $\,p = \text{?}$
Answer: $p = 2$
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Practice with $x^{-p} = \frac{1}{x^p}$

 
 
Simplify:
    
(an even number, please)