Final answer:
To simplify the expression (7 + 5)q⁴ × 13 - 2, add the numbers inside the parentheses, multiply the result by q⁴, then by 13, and finally subtract 2, resulting in the simplified expression 156q⁴ - 2.
Step-by-step explanation:
The student is asking to simplify the expression (7 + 5)q⁴ × 13 - 2. We start by simplifying inside the parentheses, and then we apply the rules of exponents and multiplication.
To simplify the expression (7 + 5)q⁴ × 13 - 2, we can start by simplifying the expression inside the parentheses: 7 + 5 = 12.
Now we can rewrite the expression as 12q⁴ × 13 - 2.
We can further simplify the expression by multiplying 12q⁴ and 13: 12q⁴ × 13 = 156q⁴.
Finally, we subtract 2 from 156q⁴ to get the simplified expression: 156q⁴ - 2.
So, the simplified expression is 156q⁴ - 2.
Add the numbers inside the parentheses: 7 + 5 = 12.
- Multiply the sum by q⁴: 12q⁴.
- Multiply this result by 13: 12q⁴ × 13 = 156q⁴.
- Subtract 2 from the product: 156q⁴ - 2.
The final simplified expression is 156q⁴ - 2.