The expression shown in the image is $4^{-3}$.

To simplify this:

$4^{-3} = \frac{1}{4^3}$

Now calculate $4^3$:

$4^3 = 4 \times 4 \times 4 = 64$

So:

$4^{-3} = \frac{1}{64}$

The simplified fraction is $\frac{1}{64}$.

Would you like further explanation on negative exponents or any other related concept? Here are some related questions to think about:

1. What is the meaning of a negative exponent in general?
2. How would you calculate $2^{-4}$?
3. What is $4^3$ in expanded form?
4. What would happen if you had $(4^{-3})^{-2}$?
5. How can you represent $4^{-3}$ using a root?

Tip: Remember, a negative exponent means you take the reciprocal of the base raised to the positive version of the exponent.