Simplify the Expression: b⁵/b² Using Exponent Rules

To solve this problem, we need to simplify the expression $\frac{b^5}{b^2}$ using the rules of exponents.

• Step 1: Identify the rule to apply: For any positive integer exponents $m$ and $n$, the rule $\frac{a^m}{a^n} = a^{m-n}$ applies when dividing terms with the same base. In this expression, our base is $b$.

• Step 2: Apply the rule: Substitute the given exponents into the formula: $\frac{b^5}{b^2} = b^{5-2}$

• Step 3: Perform the subtraction: Calculate the exponent $5 - 2$: $b^{5-2} = b^3$

Therefore, the solution to the expression $\frac{b^5}{b^2}$ is $b^3$.