(8) ⅓ × (16) ⅓/(32)^-1/5
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Step-by-step explanation:
8^1/3 × 16 ^1/3 / 32^-1/5
= 2 ^(3) 1/3 × 2^(4) 1/3 / 2^(5) -1/5
= 2^ 3 × 1/3 × 2^ 4 × 1/3 / 2 ^ 5 ×-1/5
= 2 × 2^4/3 / 2^-1
= 2× 2^ { 4-(-3) }/3
=2× 2 ^ 7/3
=2 ^ 1+ 7/3
= 2^( 3+7)/3
= 2^10/3
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