Answer:

we know that √x means : power of x is 1/2

again ³√x means : power of x is 1/3.

given ³√4² = ³√(2²)² = ³√2⁴ = 2^(4/3)

similarly, ³√8² = ³√(2³)² = ³√2⁶ = 2^(6/3) = 2^(2)

multiplying both we get = 2^ ( 4/3 + 2) = 2^ ( 10/3)

Verified answer

[tex] \sqrt[3]{4} \times \sqrt[3]{ {8}^{2} } \\ = \sqrt[3]{4} \times \sqrt[3]{ 64 } \\ = \sqrt[3]{64 \times 4} \\ = \sqrt[3]{256} \\ = 6.349[/tex]

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