Question

simplify.
\frac{y^{5}}{y^{2}}

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base, we subtract the exponents: $\frac{a^m}{a^n} = a^{m - n}$ (where $a
eq0$). Here, the base is $y$, $m = 5$, and $n = 2$.

Step2: Apply the rule

$\frac{y^5}{y^2}=y^{5 - 2}$

Step3: Simplify the exponent

$5 - 2 = 3$, so $y^{5 - 2}=y^3$

Answer:

$y^3$