Understanding (8u)^2 without parentheses
The expression (8u)^2 represents the square of the entire term 8u. This means that both the coefficient 8 and the variable u are being squared.
Here's a breakdown:
1. Expanding the Expression:
- (8u)^2 = 8u * 8u
2. Applying the Exponent Rule:
- 8u * 8u = 8 * 8 * u * u
3. Simplifying the Expression:
- 8 * 8 * u * u = 64u^2
Therefore, (8u)^2 without parentheses is 64u^2.
Key Takeaways:
- Exponent rules apply to the entire term within parentheses.
- Squaring a term involves multiplying it by itself.
- The coefficient and variable are both squared when the entire term is squared.