%5E2-without-parentheses.jpeg "(4v)^2 Without Parentheses")
Simplifying (4v)^2 Without Parentheses
In mathematics, understanding how to simplify expressions is crucial. One common expression you might encounter is (4v)^2. Let's break down how to simplify this expression without the parentheses.
Understanding Exponents
First, remember what an exponent means. The exponent tells us how many times to multiply the base by itself. In our case, the base is 4v and the exponent is 2.
Applying the Exponent
To get rid of the parentheses, we simply apply the exponent to each term inside the parentheses. This means we multiply 4v by itself:
(4v)^2 = (4v) * (4v)
Simplifying the Expression
Now, we can multiply the coefficients and the variables separately:
(4 * 4) * (v * v) = 16v^2
Final Answer
Therefore, (4v)^2 without parentheses is 16v^2.
Key Points:
- Remember to apply the exponent to both the coefficient and the variable.
- When multiplying variables with exponents, add the exponents together.
By following these steps, you can confidently simplify expressions like (4v)^2 and many others.