(225a^10)/(5a^2)^2

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (225a^10)/(5a^2)^2

This article will walk you through the process of simplifying the algebraic expression (225a^10)/(5a^2)^2.

Step 1: Simplifying the denominator

We begin by simplifying the denominator. Remember that (ab)^n = a^n * b^n. Applying this to our expression, we get:

(5a^2)^2 = 5^2 * (a^2)^2 = 25a^4

Step 2: Rewriting the expression

Now our expression becomes:

(225a^10) / (25a^4)

Step 3: Simplifying the expression

We can simplify this further by dividing the numerator and denominator by their greatest common factor (GCF), which is 25a^4.

(225a^10) / (25a^4) = (25a^4 * 9a^6) / (25a^4 * 1)

Canceling out the common factor, we get:

9a^6

Final Result

Therefore, the simplified form of (225a^10)/(5a^2)^2 is 9a^6.