%5E2-without-parentheses.jpeg "(5x)^2 Without Parentheses")
Understanding (5x)^2 without Parentheses
In mathematics, parentheses are used to indicate the order of operations. When we have an expression like (5x)^2, the parentheses tell us to square the entire quantity 5x. However, we can rewrite this expression without parentheses using the following steps:
Expanding the Expression
- Understanding Exponents: The exponent '2' means we multiply the base by itself.
- Applying the Exponent: In this case, the base is 5x. So, (5x)^2 is equivalent to (5x) * (5x).
- Distributing Multiplication: Using the distributive property of multiplication, we get (5 * 5) * (x * x).
Final Result
Simplifying the multiplication, we arrive at 25x^2.
Therefore, (5x)^2 without parentheses is equal to 25x^2.
Key Points to Remember
- Order of Operations: Always follow the order of operations (PEMDAS/BODMAS) to ensure correct evaluation of mathematical expressions.
- Exponents: Exponents apply to the entire base within the parentheses.
- Distributive Property: It allows us to simplify expressions by multiplying each term inside the parentheses by the factor outside.
By understanding these concepts, you can confidently work with expressions that involve exponents and parentheses.