Question

Rewrite the expression using positive exponents. $$x^{-4} y^{3}$$

Short answer

Hence, the expression \(x^{-4} y^{3}\) rewritten using only positive exponents is \(y^{3}/x^{4}\).

Step-by-step solution

Handle the Negative Exponent

The rules of exponents state that anything to the negative power is equal to one over the same thing to the positive power. So, \(x^{-4}\) can be re-written as \(1/x^{4}\).

Combine with Positive Exponent

Now, combining this with the remaining part of the expression which is \(y^{3}\), we rewrite the entire expression as \(1/x^{4} * y^{3}\).

Final Simplification

Although not necessary, it seems more suitable to arrange the expression to put the 'y' term first. Therefore, the simplified expression is \(y^{3}/x^{4}\). This becomes our final answer.