%5E6.jpeg "(x^5)^6")
Simplifying (x^5)^6
In mathematics, simplifying expressions is a fundamental skill. One such expression is (x^5)^6. Let's break down how to simplify it using the rules of exponents.
The Rule of Exponents
The key rule we need here is the power of a power rule:
(a^m)^n = a^(m*n)
This rule tells us that when raising a power to another power, we multiply the exponents.
Applying the Rule
Let's apply this rule to our expression:
(x^5)^6 = x^(5*6)
Simplifying the Expression
Finally, we perform the multiplication:
x^(5*6) = x^30
Conclusion
Therefore, the simplified form of (x^5)^6 is x^30.