%5E4-simplify.jpeg "(x^5)^4 Simplify")
Simplifying (x^5)^4
In mathematics, simplifying expressions is a fundamental skill. One common type of simplification involves exponents. Let's look at the expression (x^5)^4 and how to simplify it.
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 raising a power to another power, you multiply the exponents:
(a^m)^n = a^(m*n)
Applying the Rule to (x^5)^4
Using the power of a power rule, we can simplify (x^5)^4 as follows:
- (x^5)^4 = x^(5*4)
- (x^5)^4 = x^20
Conclusion
Therefore, the simplified form of (x^5)^4 is x^20. By applying the power of a power rule, we successfully reduced the complexity of the expression while maintaining its mathematical equivalence.