How do you simplify the expression 4 over y to the power of negative 3?

To simplify the expression 4 over y to the power of negative 3, we start with the original expression:

4 / y^-3

According to the rules of exponents, any term with a negative exponent can be rewritten by taking it to the opposite side of the fraction. This means that we can move y^-3 from the denominator to the numerator, changing its sign in the process:

4 / y^-3 = 4 * y³

Now, we can express the simplified form of the original expression:

4 * y³

So the final simplified version of the expression 4 over y to the power of negative 3 is:

4y³

This shows that when you have a negative exponent in the denominator, you can transform it to a positive exponent in the numerator to achieve a more straightforward expression. Remember, simplifying expressions like these can help you in algebraic operations and make your calculations much easier!