%5E3-simplified.jpeg "(a^2)^3 Simplified")
(a^2)^3 Simplified
When working with exponents, one of the most powerful rules to remember is the power of a power rule. This rule states that when you raise a power to another power, you multiply the exponents. In this article, we will explore how to simplify the expression (a^2)^3.
The Power of a Power Rule
The power of a power rule states that:
(a^m)^n = a^(m*n)
Where m and n are integers and a is a real number.
Simplifying (a^2)^3
Using the power of a power rule, we can simplify (a^2)^3 as follows:
(a^2)^3 = a^(2*3) (a^2)^3 = a^6
Therefore, the simplified form of (a^2)^3 is a^6.
Example
Let's say we want to simplify the expression (2^2)^3. Using the power of a power rule, we can simplify it as follows:
(2^2)^3 = 2^(2*3) (2^2)^3 = 2^6 (2^2)^3 = 64
Therefore, the simplified form of (2^2)^3 is 64.
Conclusion
In conclusion, simplifying (a^2)^3 is a straightforward process using the power of a power rule. By multiplying the exponents, we can simplify the expression to a^6. This rule can be applied to any expression of the form (a^m)^n to simplify it to a^(m*n).
