Expanding (3a)³ Without Exponents
The expression (3a)³ represents the product of (3a) multiplied by itself three times:
(3a)³ = (3a) * (3a) * (3a)
To expand this without using exponents, we can use the distributive property of multiplication:
1. Expand the first two terms:
- (3a) * (3a) = 3 * a * 3 * a = 9 * a * a = 9a²
2. Multiply the result by the remaining term:
- 9a² * (3a) = 9 * a² * 3 * a = 27 * a² * a = 27a³
Therefore, (3a)³ expanded without exponents is 27a³.