Question

To simplify the following expression correctly, what must be done with the exponents?
$5^a\times 5^b\times 5^c$

• A. Add the exponents.
• B. Multiply the exponents.
• C. Divide the exponents
• D. Subtract the exponents.

Answer 1

The correct option is A Add the exponents.

Since the base is same, the exponents can be added (Product rule of exponents).

$\therefore 5^a\times 5^b\times 5^c=5^{(a+b+c)}$

Hence, option $A$ is correct.