%5E2-simplified.jpeg "(7^6)^2 Simplified")
Simplifying (7^6)^2
In mathematics, simplifying expressions is an essential skill. Here's how to simplify the expression (7^6)^2.
Understanding the Rules
The key to simplifying this expression lies in understanding the rule of exponents. When raising a power to another power, we multiply the exponents. This can be represented as:
(a^m)^n = a^(m*n)
Applying the Rule
In our example, (7^6)^2, we have:
- a = 7
- m = 6
- n = 2
Applying the rule, we get:
(7^6)^2 = 7^(6*2)
Simplifying the exponent:
7^(6*2) = 7^12
Conclusion
Therefore, the simplified form of (7^6)^2 is 7^12. This simplification shows that raising a power to another power is equivalent to multiplying the exponents.