1. 4^6 ÷ 16^1/2
= (2^2)^6 ÷ (2^4)^1/2
= 2^12 ÷ 2^4/2
= 2^12 ÷ 2^2
= 2^12-2
= 2^10
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 1.024
2. 32^1/27 ÷ (3^-4)^0
= (2^6)^1/27 ÷ 3^0
= 2^6/27 ÷ 1
= 2^6/27
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1. 4^6 ÷ 16^1/2
= (2^2)^6 ÷ (2^4)^1/2
= 2^12 ÷ 2^4/2
= 2^12 ÷ 2^2
= 2^12-2
= 2^10
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 1.024
2. 32^1/27 ÷ (3^-4)^0
= (2^6)^1/27 ÷ 3^0
= 2^6/27 ÷ 1
= 2^6/27