Question

8a⁸(4a⁵+6) - Simplify your answer as much as possible

Answer 1

To simplify the expression 8a⁸(4a⁵+6), distribute the 8a⁸ to get 32a¹¹ + 48a⁸ as the final simplified form, ensuring no further simplification is needed.

Step-by-step explanation:

To simplify the expression 8a⁸(4a⁵+6), you need to distribute the 8a⁸ across the terms inside the parenthesis.

First, multiply 8a⁸ by 4a⁵, which will give you 32a¹¹. Note that when you multiply powers with the same base, you add the exponents: 8 + 5 = 13.

Then, multiply 8a⁸ by 6, which will give you 48a⁸.

So, the simplified expression is 32a¹¹ + 48a⁸. There are no like terms to combine, so this is the final simplified form.
Always check to ensure the simplified expression is reasonable and that no further simplification is possible.