Question

Solve for aa. Express your answer in simplest radical form if necessary.

Answer 1

Given
`\(a = (\sqrt[3]{91})^3\)`, cubing the cube root of 91
`(\(\sqrt[3]{91^3}\))\\` results in

`\(\sqrt[3]{729}\)`, which simplifies to 9. Therefore, the final answer is a = 9.

Let's break down the calculation step by step:

Given
`\(a = (\sqrt[3]{91})^3\)`:

1. Cube the Cube Root of 91:

`\[a = (\sqrt[3]{91})^3 = \sqrt[3]{91^3}\]\\`

2. Evaluate the Cube:

`\[\sqrt[3]{91^3} = \sqrt[3]{729}\]`

3. Determine the Cube Root:

`\[\sqrt[3]{729} = 9\]`

Therefore, the solution to a is a = 9. Each step involves basic operations, starting with cubing the cube root and simplifying until we arrive at the final result, which is 9.