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(3/4x)^2

2 min read Jun 16, 2024
(3/4x)^2

Understanding (3/4x)^2

The expression (3/4x)^2 represents the square of the quantity (3/4x). Let's break down its meaning and how to simplify it.

What Does Squaring Mean?

Squaring a number or expression means multiplying it by itself. In this case, we are squaring the entire quantity (3/4x), not just the variable 'x'.

Simplifying the Expression

To simplify (3/4x)^2, we follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses/Brackets: We start by squaring the expression inside the parentheses.
  2. Exponents: We apply the exponent to each term within the parentheses.
  3. Multiplication/Division: We multiply the resulting terms.

Let's apply these steps:

  1. (3/4x)^2 = (3/4x) * (3/4x)
  2. (3/4x) * (3/4x) = (33)/(44) * (x*x)
  3. (33)/(44) * (x*x) = 9/16 * x^2

Therefore, the simplified form of (3/4x)^2 is 9/16 * x^2.

Key Points to Remember

  • Order of Operations: Always follow the order of operations when simplifying expressions with exponents.
  • Squaring the Entire Quantity: Remember that squaring an expression means multiplying the entire expression by itself.

By understanding the concept of squaring and following the order of operations, you can easily simplify expressions like (3/4x)^2.

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