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Simplify (3a^3 b^3)(4ab^2)^2

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\bf (3a^3b^3)(4ab^2)^2\implies (3a^3b^3)(4^2a^2b^(2\cdot 2))\implies (3a^3b^3)(4^2a^2b^4) \\\\\\ 3a^3b^34^2a^2b^4\implies 3\cdot 4^2a^3a^2b^3b^4\implies 3\cdot 16a^(3+2)b^(3+4)\implies 48a^5b^7
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