# Find the Simplified Product

## How do we determine the simplified product?

The product is given as: [tex]\sqrt[3]{2x^5} \times \sqrt[3]{64x^9}[/tex]

## Answer:

The simplified product of [tex]\sqrt[3]{2x^5} \times \sqrt[3]{64x^9}[/tex] is [tex]4x^4\sqrt[3]{2x^2}[/tex]

The product of numbers or expressions is calculated by multiplying the numbers or expressions.

To determine the simplified product of [tex]\sqrt[3]{2x^5} \times \sqrt[3]{64x^9}[/tex], follow these steps:

- Express 64 as 4^3
- Express x^9 as (x^3)^3
- Evaluate the cube roots
- Express x^5 as x^3 * x^2
- Evaluate the cube root
- Multiply

By following these steps, you will arrive at the simplified product [tex]4x^4\sqrt[3]{2x^2}[/tex]