The expression in the image is:

$\frac{x^{-4}}{y^{-6}}$

To simplify this, we can use the property of exponents that states $a^{-n} = \frac{1}{a^n}$. This property also allows us to rewrite negative exponents in the denominator by moving them to the numerator (and vice versa).

Thus, we can rewrite the expression as follows:

$\frac{x^{-4}}{y^{-6}} = x^{-4} \cdot y^6 = \frac{y^6}{x^4}$

So, the simplified expression is:

$\frac{y^6}{x^4}$

Would you like further details or have any questions?

Related Questions

1. How do we simplify expressions with multiple variables and negative exponents?
2. What happens if the exponent of $x$ or $y$ is positive instead of negative?
3. How can we rewrite $\frac{x^4}{y^{-2}}$ in a simpler form?
4. How does the exponent rule apply to expressions with fractional exponents?
5. Can we apply the same exponent rules when there are radicals involved?

Tip

Remember, any negative exponent can be turned positive by moving the base to the other side of a fraction.