%5E3-simplified.jpeg "(5x)^3 Simplified")
Simplifying (5x)^3
In mathematics, simplifying expressions is a crucial skill. One common example is simplifying expressions with exponents. Let's take a look at how to simplify the expression (5x)^3.
Understanding the Rules
The expression (5x)^3 means we are multiplying (5x) by itself three times:
(5x)^3 = (5x) * (5x) * (5x)
To simplify this, we need to apply the rules of exponents:
- (ab)^n = a^n * b^n
This rule tells us that when raising a product to a power, we can distribute the power to each factor.
Applying the Rule
Using the rule above, we can simplify (5x)^3 as follows:
(5x)^3 = 5^3 * x^3
Now, we calculate the power of 5:
5^3 = 5 * 5 * 5 = 125
Final Result
Therefore, the simplified form of (5x)^3 is 125x^3.