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Answer 1

1 - [(5/4)³]⁴ = (5/4) ^3×4 = (5/4)^12

2- [(-1/3)^7]^9 × 3^60 = (-1/3)^7×9 × 3^60
= (-1/3)^63×3^60= (-3)^63 × 3^60
=-1 × (3)^-63× 3^60= -1 × (3)^-63+60
= -1 × (3)^-3 = -1 × -27 = 27

3- (3^8)^4 × 1/(2^9)^4 = 3^32 × 1 / 2^36
= 3^32/2^36

4- (11/25)^25 ÷ (11/25)^34 = (11/25) ^ 25-34
= (11/24)^-9

5- (3/7)^-1 × (7/3)^-1 = 7/3 × 3/7 = 1

6- 6^19 × 6^18 × 1/6^30
= 6^19 × 6^18 × 6^-30
= 6^19+18+(-30)
= 6^19-12 = 6^7

7- 6^0 - 9^0 - 10^0 = 1-1-1 = -1

8- (3^-1 - 4^-1)^-1= (1/3-1/4)^-1
= {(4-3)/12}^-1=(1/12)^-1 = 12

9- (1/3)^-3 + (1/2)^-5 - (1/2)^-5
= 3³ + 2^5 - 2^5 = 3³ = 27

10- (1/3) ^0 = 1

11- (-1/2)^-4 × (5/6)^-4
= -2^4 × (6/5)^4
= 2^4 × (6/5)^4 =( 12/5)^4

12- (3/4)^-1 × (4/15)^-1 = 4/3×15/4 = 15/3 = 5

13- [(-1)^9]^8 = -1^9×8 = -1^72 = 1

14-67^4 × 1/67^3 = 67^4 × 67^-3 = 67^4-3 = 67^1
= 67

15-(1/2)^6 × 2^5 = 2^-6+5 = 2^-1 = 1/2

16- 7^8/7^0 × 7^3 = 7^8/1 × 7^3 = 7^8+3 = 7^11

17- 2^0 /4^0 × 5^2 = 1/1 × 25 = 25

18-(-1)^4 /(-1)^-3 × (-1)^16 = 1/-1 × 1 = -1×1 = -1

19- [(1/2)^4]^1/4 = (1/2)^1/16

20- (8/9)^2/3 × (8/9)^ 9/4 = (8/9)^2/3+9/4
= (8/9)^(8+27)/4 = (8/9)^35/4

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I answered 20 random questions.