The correct simplification of the expression 4 over y to the power of negative 3?

Solution:

Given, the expression is 4 over y to the power of negative 3.

We have to write the expression in simplified form.

The expression can be written as 4/y^-3.

We know that negative exponents of the quotient are the reciprocals of the positive exponent.

I.e. \(x^{-a}=\frac{1}{x^{a}}\) or \(x^{a}=\frac{1}{x^{-a}}\)

Now, \(\frac{4}{y^{-3}}=4y^{3}\)

Therefore, the simplified expression is \(4y^{3}\).

The correct simplification of the expression 4 over y to the power of negative 3?

Summary:

The correct simplification of the expression 4 over y to the power of negative 3 is \(4y^{3}\).