%5E2-simplified.jpeg "(3^3)^2 Simplified")
Simplifying (3^3)^2
In mathematics, simplifying expressions is a common task. Today, we'll focus on simplifying the expression (3^3)^2.
Understanding the Order of Operations
To correctly simplify this expression, we need to remember the order of operations. A helpful acronym for this is PEMDAS which stands for:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplifying the Expression
- Innermost Exponent: We begin by calculating the innermost exponent, 3^3. This means 3 multiplied by itself three times: 3 * 3 * 3 = 27.
- Outer Exponent: Now we have (27)^2. This means 27 multiplied by itself twice: 27 * 27 = 729.
Result
Therefore, the simplified form of (3^3)^2 is 729.