%5E3-answer.jpeg "(a^2)^3 Answer")
Understanding (a^2)^3
In mathematics, we often encounter expressions with exponents raised to other exponents, like (a^2)^3. Understanding how to simplify these expressions is crucial for solving various problems.
The Rule of Exponents
The key to simplifying such expressions lies in the rule of exponents for powers of powers. This rule states that:
(a^m)^n = a^(m*n)
This means that when raising a power to another power, we multiply the exponents together.
Applying the Rule to (a^2)^3
Let's apply this rule to our expression (a^2)^3:
- m = 2 (the exponent of the base 'a')
- n = 3 (the exponent outside the parenthesis)
Therefore, using the rule, we get:
(a^2)^3 = a^(2*3) = a^6
Conclusion
The simplified form of (a^2)^3 is a^6. Remember to apply the rule of exponents for powers of powers whenever you encounter expressions like this.