Question

Rewrite the expression with positive exponents. $$8 x^{-2} y^{-6}$$

Short answer

The given expression \(8x^{-2}y^{-6}\) with positive exponents is \(8/(x^2 * y^6)\).

Step-by-step solution

Identify Negative Exponents

In the given expression \(8x^{-2}y^{-6}\), identify the terms with negative exponents. They are \(x^{-2}\) and \(y^{-6}\).

Rewrite these terms with positive exponents

For \(x^{-2}\), write this term as \(1/x^2\). And for \(y^{-6}\), write it as \(1/y^6\). So, our expression becomes \(8 * (1/x^2) * (1/y^6)\).

Simplify the Expression

Once we have converted the terms with negative exponents into positive, further simplification results in the final expression: \(8/(x^2 * y^6)\).