1. 7^2 × 2^-3 × 5^3 - 5^2 × 7 × 2^2 × 7^2 × 2^-1 × 5^2
= (7 × 7) × 1/2^3 × (5 × 5 × 5) - (5 × 5) × 7 × (2 × 2) × (7 × 7) × 1/2^1 × (5 × 5)
= 49 × 1/8 × 125 - 25 × 7 × 4 × 49 × 1/2 × 25
= (49 × 1 × 125/8) - (25 × 7 × 4 × 49 × 1/2 × 25)
= (49 × 125/8) - (175 × 4 × 49 × 1/2 × 25)
= 6.125/8 - (700 × 49 × 1/2 × 25)
= 6.125/8 - (34.300 × 1/2 × 25)
= 6.125/8 - (34.300/2 × 25)
= 6.125/8 - (17.150 × 25)
= 6.125/8 - 428.750
= 6.125/8 - 428.750/1
= 6.125 - 3.430.000/8
= -3.423.875/8
= -427.984 3/8
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Verified answer
1. 7^2 × 2^-3 × 5^3 - 5^2 × 7 × 2^2 × 7^2 × 2^-1 × 5^2
= (7 × 7) × 1/2^3 × (5 × 5 × 5) - (5 × 5) × 7 × (2 × 2) × (7 × 7) × 1/2^1 × (5 × 5)
= 49 × 1/8 × 125 - 25 × 7 × 4 × 49 × 1/2 × 25
= (49 × 1 × 125/8) - (25 × 7 × 4 × 49 × 1/2 × 25)
= (49 × 125/8) - (175 × 4 × 49 × 1/2 × 25)
= 6.125/8 - (700 × 49 × 1/2 × 25)
= 6.125/8 - (34.300 × 1/2 × 25)
= 6.125/8 - (34.300/2 × 25)
= 6.125/8 - (17.150 × 25)
= 6.125/8 - 428.750
= 6.125/8 - 428.750/1
= 6.125 - 3.430.000/8
= -3.423.875/8
= -427.984 3/8