https://file.aiquickdraw.com/mathbot/file/1729053103717a8f7fnx5.jpg

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.

4^-3 = ? (Type an integer or a simplified fraction.)

Learn how to simplify the expression 4^-3. This problem focuses on exponents, negative exponents, and how to calculate the reciprocal of a base. Suitable for students in Grades 6-8.

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