Simplify the Expression: y^7 ÷ y^2 Using Exponent Rules

The given expression is $\frac{y^7}{y^2}$.

To simplify this expression, we apply the Power of a Quotient Rule for exponents. This rule states that when you divide two expressions with the same base, you subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$.

In this case, the base $y$ is the same for both the numerator and the denominator.

• The exponent in the numerator is 7.
• The exponent in the denominator is 2.

Thus, following the rule, we subtract the exponent of the denominator from the exponent of the numerator:

$y^{7-2} = y^5$

The solution to the question is: $y^5$