%5E2-without-parentheses.jpeg "(4x)^2 Without Parentheses")
Understanding (4x)^2 without Parentheses
The expression (4x)^2 represents the square of the entire term 4x. This means we are multiplying 4x by itself. Let's break it down:
Expanding the Expression
When we remove the parentheses, we get:
(4x)^2 = 4x * 4x
Applying the Properties of Exponents
Remember that when multiplying exponents with the same base, we add their powers. In this case, both 4 and x have a power of 1.
4x * 4x = 4^1 * x^1 * 4^1 * x^1 = 4^(1+1) * x^(1+1)
Simplifying the Expression
Finally, we simplify the exponents:
4^(1+1) * x^(1+1) = 4^2 * x^2 = 16x^2
Conclusion
Therefore, (4x)^2 without parentheses is equivalent to 16x^2. It's essential to remember that the square applies to the entire term inside the parentheses, not just the variable.