Respuesta :
The products of numbers or expressions is calculated by multiplying the numbers or expressions
The simplified product of [tex]\sqrt[3]{2x^5} \times \sqrt[3]{64x^9}[/tex] is [tex]4x^4\sqrt[3]{ 2x^2}[/tex]
How to determine the simplified product?
The product is given as:
[tex]\sqrt[3]{2x^5} \times \sqrt[3]{64x^9}[/tex]
Express 64 as 4^3
[tex]\sqrt[3]{2x^5} \times \sqrt[3]{4^3x^9}[/tex]
Express x^9 as (x^3)^3
[tex]\sqrt[3]{2x^5} \times \sqrt[3]{4^3(x^3)^3}[/tex]
Evaluate the cube roots
[tex]\sqrt[3]{2x^5} \times 4x^3}[/tex]
Express x^5 as x^3 * x^2
[tex]\sqrt[3]{x^3 \times 2x^2} \times 4x^3}[/tex]
Evaluate the cube root
[tex]x\sqrt[3]{ \times 2x^2} \times 4x^3}[/tex]
Multiply
[tex]4x^4\sqrt[3]{ 2x^2}[/tex]
Hence, the simplified product of [tex]\sqrt[3]{2x^5} \times \sqrt[3]{64x^9}[/tex] is [tex]4x^4\sqrt[3]{ 2x^2}[/tex]
Read more about products at:
https://brainly.com/question/10255420