what rule is (16^3)^9= 16^27
1. product rule
2. power rule
3. quotient rule
4. negative integer exponent rule
5.zero power rule
2. power rule
The correct rule that allows us to simplify the expression (16^3)^9 in order to obtain 16^27 is the power rule. Therefore, the answer is 2. power rule.
To simplify the expression (16^3)^9 = 16^27, we can use the power rule. The power rule states that when raising a power to another power, you multiply the exponents.
In this case, we have (16^3)^9. To find the solution, we can multiply the exponents:
3 * 9 = 27.
Therefore, the correct answer is 2. power rule.