%5E2-simplify.jpeg "(5x^3)^2 Simplify")
Simplifying (5x^3)^2
In algebra, simplifying expressions involving exponents is an essential skill to master. One such expression is (5x^3)^2. In this article, we will show you how to simplify this expression step-by-step.
Understanding the Expression
Before we start simplifying, let's break down the expression (5x^3)^2. This expression consists of two parts:
- 5x^3: This is the base expression, which is raised to the power of 2.
- ^2: This is the exponent, which indicates that the base expression should be squared.
Simplifying the Expression
To simplify (5x^3)^2, we can use the power of a power rule, which states that:
(a^m)^n = a^(m*n)
In our case, a = 5x^3, m = 1, and n = 2. Applying the rule, we get:
(5x^3)^2 = (5x^3)^(1*2) = 5^(1*2) * x^(3*2)
= 25x^6
Therefore, the simplified form of (5x^3)^2 is 25x^6.
Conclusion
Simplifying expressions involving exponents requires attention to detail and a solid understanding of algebraic rules. By applying the power of a power rule, we were able to simplify (5x^3)^2 to its simplest form, 25x^6. Practice simplifying similar expressions to reinforce your understanding of algebra.
