Simplify the expression $\frac{a^6 b^{43}}{a^4 b^6}$.

1. Problem Description

Simplify the expression $\frac{a^6 b^{43}}{a^4 b^6}$.

2. Solution Steps

We are asked to simplify the expression $\frac{a^6 b^{43}}{a^4 b^6}$.

Using the quotient rule for exponents, we have:

$\frac{x^m}{x^n} = x^{m-n}$.

Applying this rule to the expression, we get

$\frac{a^6 b^{43}}{a^4 b^6} = \frac{a^6}{a^4} \cdot \frac{b^{43}}{b^6} = a^{6-4} \cdot b^{43-6} = a^2 b^{37}$.

3. Final Answer

$a^2b^{37}$