The result of the product of [tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2}[/tex] is [tex]\sqrt[5]{16x^4}[/tex]
The product is given as:
[tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2}[/tex]
Combine the products
[tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2} = \sqrt[5]{4x^2 \times 4x^2}[/tex]
Expand the factors in the roots
[tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2} = \sqrt[5]{4 \times 4 x^2 \times x^2}[/tex]
Multiply 4 by 4
[tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2} = \sqrt[5]{16x^2 \times x^2}[/tex]
Multiply x^2 and x^2
[tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2} = \sqrt[5]{16x^4}[/tex]
Hence, the result of the product of [tex]\sqrt[5]{4x^2} \times \sqrt[5]{4x^2}[/tex] is [tex]\sqrt[5]{16x^4}[/tex]
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