%5E2-without-parentheses.jpeg "(8x)^2 Without Parentheses")
Understanding (8x)^2 Without Parentheses
The expression (8x)^2 represents the square of the entire term (8x). Let's break down how to expand this expression without using parentheses:
The Power of a Product Rule
The key is understanding the power of a product rule. This rule states that when you raise a product to a power, you raise each factor in the product to that power.
In our case:
(8x)^2 = 8^2 * x^2
Simplifying the Expression
Now, we can simplify:
- 8^2 = 64
- x^2 = x^2
Therefore, (8x)^2 without parentheses is 64x^2.
Key Takeaway
Remember, when dealing with exponents and parentheses, applying the power of a product rule is crucial. It allows you to simplify expressions by distributing the exponent to each factor within the parentheses.