%5E2-simplified.jpeg "(4n)^2 Simplified")
Simplifying (4n)^2
In mathematics, simplifying expressions is a crucial skill. One common expression we encounter is (4n)^2. Let's break down how to simplify it.
Understanding the Expression
The expression (4n)^2 represents the square of the term 4n. This means we multiply the term by itself:
(4n)^2 = (4n) * (4n)
Applying the Exponent Rule
When multiplying terms with exponents, we add the exponents. However, in this case, the exponent applies to both the coefficient (4) and the variable (n). Therefore, we square both individually:
(4n)^2 = 4^2 * n^2
Simplifying the Expression
Now, we simply calculate the square of 4 and leave the variable with the exponent:
4^2 * n^2 = 16n^2
Conclusion
Therefore, the simplified form of (4n)^2 is 16n^2. This process illustrates the importance of applying exponent rules and understanding the order of operations in simplifying expressions.