%5E3-simplified.jpeg "(3^3)^3 Simplified")
Simplifying (3^3)^3
In mathematics, expressions involving exponents can sometimes seem complicated, but with the right rules, they become much easier to understand. Let's break down how to simplify the expression (3^3)^3.
Understanding the Rules of Exponents
The key to simplifying this expression lies in understanding the power of a power rule. This rule states that when you raise a power to another power, you multiply the exponents.
In mathematical terms: (a^m)^n = a^(m*n)
Applying the Rule
Let's apply this rule to our expression:
- (3^3)^3 = 3^(3*3)
Now, we simply multiply the exponents:
- 3^(3*3) = 3^9
Final Calculation
Finally, we need to calculate 3 raised to the power of 9:
- 3^9 = 19683
Therefore, the simplified form of (3^3)^3 is 19683.