Question

simplify. assume all variables are positive.
$\frac{x^{\frac{5}{2}}}{x^{\frac{1}{2}}}$
write your answer in the form a or $\frac{a}{b}$, where a and b are constants that have no variables in common. all exponents in your answer s

Explanation:

Step1: Apply exponent division rule

When dividing terms with the same base, subtract exponents: $\frac{x^m}{x^n}=x^{m-n}$
$\frac{x^{\frac{5}{2}}}{x^{\frac{1}{2}}}=x^{\frac{5}{2}-\frac{1}{2}}$

Step2: Calculate the exponent

Subtract the fractions in the exponent.
$x^{\frac{5-1}{2}}=x^{\frac{4}{2}}=x^2$

Answer:

$x^2$