Exciting Math Challenge: Simplify Expressions

Can you simplify the given expression completely?

Given expression: ∛8y^3 x^2 square root 64y^2

Answer:

The simplified expression of ∛8y^3 x^2 square root 64y^2 is 16yx^2.

Mathematics can be fun and challenging at the same time, especially when it comes to simplifying expressions. In this particular case, we are tasked with simplifying the given expression: ∛8y^3 x^2 square root 64y^2.

The first step is to recognize that ∛8y^3 is the cube root of 8y^3, which simplifies to 2y. The term x^2 remains the same, and the 'square root 64y^2' term simplifies to 8y. Multiplying all these terms together, we get:

2y * x^2 * 8y = 16yx^2

Therefore, the simplified expression for ∛8y^3 x^2 square root 64y^2 is 16yx^2. How exciting!