Answer:
The simplified expression is a * b^16
Explanation:
To simplify the expression (a (b^8)²) using the power rule in Algebra 1, we can follow these steps:
Step 1: Apply the power rule.
The power rule states that when you raise a power to another power, you multiply the exponents. In this case, we have (b^8)², so we can multiply the exponents 8 and 2.
(b^8)² = b^(8*2) = b^16
Step 2: Substitute the simplified term into the expression.
Now that we have simplified (b^8)² to b^16, we can substitute it back into the original expression:
(a (b^8)²) = a * b^16
So, the simplified expression is a * b^16.
Please note that the power rule is applicable when you raise a power to another power. It does not apply to multiplying or adding powers. If you have a different expression or any further questions, feel free to ask!