Question

simplify. express your answer using a single exponent. \\((11h^{3})^{2}\\)

Explanation:

Step1: Apply power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). So for \((11h^{3})^{2}\), we can apply this rule as \(11^{2}\times(h^{3})^{2}\).

Step2: Simplify each part

First, calculate \(11^{2}\), which is \(11\times11 = 121\). Then, for the exponent part, we use the power of a power rule \((a^m)^n=a^{m\times n}\). So \((h^{3})^{2}=h^{3\times2}=h^{6}\).

Step3: Combine the results

Multiply the two simplified parts together: \(121\times h^{6}=121h^{6}\).

Answer:

\(121h^{6}\)