%5E2-simplified.jpeg "(3^3)^2 Simplified")
(3^3)^2 Simplified: A Step-by-Step Guide
When it comes to simplifying expressions involving exponents, it's essential to follow the order of operations (PEMDAS) and understand the rules of exponents. In this article, we'll explore how to simplify (3^3)^2.
The Given Expression: (3^3)^2
Our goal is to simplify the expression (3^3)^2, which involves a power raised to another power.
Step 1: Evaluate the Inner Exponent
The inner exponent is 3^3, which can be evaluated as:
3^3 = 3 × 3 × 3 = 27
So, we can rewrite the expression as:
(27)^2
Step 2: Apply the Outer Exponent
Now, we need to apply the outer exponent, which is 2. Raise 27 to the power of 2:
(27)^2 = 27 × 27 = 729
The Simplified Expression: 729
Thus, the simplified expression (3^3)^2 is equal to 729.
Recap:
To summarize, we simplified the expression (3^3)^2 by evaluating the inner exponent first, then applying the outer exponent. This resulted in a simplified expression of 729.
I hope this step-by-step guide helped you understand how to simplify (3^3)^2!
