Expanding (3n)^3 Without Exponents
The expression (3n)^3 represents the product of (3n) multiplied by itself three times. To expand this without using exponents, we can simply write it out:
(3n)^3 = (3n) * (3n) * (3n)
Now, we can apply the distributive property of multiplication:
(3n) * (3n) * (3n) = (3 * 3 * 3) * (n * n * n)
Finally, we can simplify the multiplication:
**(3 * 3 * 3) * (n * n * n) = ** 27n^3
Therefore, (3n)^3 expanded without exponents is 27n^3.
In Summary:
- (3n)^3 = (3n) * (3n) * (3n)
- (3n) * (3n) * (3n) = (3 * 3 * 3) * (n * n * n)
- (3 * 3 * 3) * (n * n * n) = 27n^3