7a^3b^4/14a^5b simplify

Answer 1

To simplify the expression 7a^3b^4 / 14a^5b, we can simplify the numerator and denominator separately and then divide them.

First, let's simplify the numerator:
7a^3b^4

Since there are no common factors between 7 and a^3b^4, we cannot simplify the numerator any further.

Now, let's simplify the denominator:
14a^5b

To simplify the denominator, we can divide both 14 and a^5b by 2a, which is a common factor:
14a^5b / 2a

This simplifies to:
7a^4b / a

Finally, we can divide the numerator by the simplified denominator:
7a^3b^4 / 14a^5b = (7a^3b^4) / (7a^4b)

Now, we can cancel out the common factors of a^3 and b from the numerator and denominator:
= (a^3b^4) / (ab)

Therefore, the simplified expression is a^2b^3.