Explanation:
To simplify the algebraic fraction (3f)²/63fh, we can follow these steps:
Step 1: Simplify the numerator. The numerator is (3f)², which means we need to square the expression 3f. Squaring a term means multiplying it by itself. So, (3f)² = 3f * 3f = 9f².
Step 2: Simplify the denominator. The denominator is 63fh. There are no like terms to combine, so we leave it as it is.
Step 3: Simplify the fraction. Now that we have simplified the numerator and denominator, we can rewrite the fraction in its simplest form. The simplified fraction is: 9f² / 63fh.
Step 4: Reduce the fraction. To further simplify the fraction, we can divide both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 9f² and 63fh is 9f. Dividing both terms by 9f, we get: (9f² / 9f) / (63fh / 9f) = f / 7h.
Therefore, the algebraic fraction (3f)²/63fh simplifies to f/7h.