%5E6-as-a-single-power-of-4.jpeg "(4^5)^6 As A Single Power Of 4")
Simplifying Exponents: (4^5)^6 as a Single Power of 4
In this article, we will explore how to simplify the expression (4^5)^6 as a single power of 4.
Understanding the Expression
The expression (4^5)^6 can be read as "4 to the power of 5, raised to the power of 6". To simplify this expression, we need to apply the rule of exponents that states:
(a^m)^n = a^(mn)
In this case, a = 4, m = 5, and n = 6.
Simplifying the Expression
Using the rule of exponents, we can rewrite the expression as:
(4^5)^6 = 4^(5*6) = 4^30
So, the simplified expression is 4^30.
Conclusion
In this article, we have shown how to simplify the expression (4^5)^6 as a single power of 4, which is 4^30. This is a important concept in algebra and is used in various mathematical operations, such as solving equations and manipulating expressions.
Remember, when dealing with exponents, it's essential to apply the rules of exponents correctly to simplify expressions and arrive at the correct answer.
