Question

select the answers that best complete the given statements.

the product rule for exponents states that $b^m \cdot b^n =$
options: $b^{mn}$, $b^{m^n}$, $b^{m + n}$, $b^{m - n}$

Explanation:

The product rule for exponents states that when multiplying two exponential expressions with the same base, we add the exponents. So for \( b^m \cdot b^n \), the base \( b \) remains the same, and we add the exponents \( m \) and \( n \), resulting in \( b^{m + n} \).

Answer:

\( b^{m + n} \)