%5E3-without-exponents.jpeg "(3x)^3 Without Exponents")
Understanding (3x)^3 without Exponents
The expression (3x)^3 represents the cube of the quantity 3x. Let's break it down without using exponents:
Understanding the Cube
The cube of a number means multiplying that number by itself three times. In this case, we are cubing the entire quantity (3x), not just the x.
Expanding the Expression
To write (3x)^3 without exponents, we can expand it as follows:
(3x)^3 = (3x) * (3x) * (3x)
Applying the Distributive Property
Now, we can apply the distributive property to multiply each term:
(3x) * (3x) * (3x) = 3 * x * 3 * x * 3 * x
Simplifying the Expression
Finally, we can rearrange the terms and multiply the numbers:
3 * x * 3 * x * 3 * x = 27x³
Conclusion
Therefore, (3x)^3 without exponents is equivalent to 27x³.