Question: Simplify: \[ b^4 \cdot b^5 \]

Solution

To simplify the expression \( b^4 \cdot b^5 \), we use the rule of exponents which states that when multiplying like bases, we add the exponents. Start with the expression: \[ b^4 \cdot b^5 \] Add the exponents: \[ b^{4+5} \] Simplify the exponent: \[ b^9 \] Thus, the simplified expression is \( b^9 \).