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Simplify the expression (a (b^8)²) using the power rule in Algebra 1.

User Sevanteri
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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!

User Allen Chak
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