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Answer:
[tex] 64{a}^{6} {b}^{3} [/tex]
Step-by-step explanation:
[tex](4 {a}^{2} b) ^{3} \\ \\ = {(4)}^{3}.( {a}^{2})^{3} . {(b)}^{3} \\ \\ = 64. {a}^{2 \times 3}. {b}^{3} \\ \\ = 64{a}^{6} {b}^{3} [/tex]