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1.  Simplify :- (81)^-1 x 3⁴

2.  Simplify :- (5ⁿ⁺² - 5ⁿ⁺¹) ÷  5^{n + 3}

3.   Simplify :- (x ^m+n ×  xⁿ⁺¹ × x^1+m) ÷ (x^m × xⁿ × x¹)²

4.  Simplify :- 3 x (25)^1/2 - 5 x (64)^1/6 + (64)^1/3  + 2 x (8/27)^-1/3 

5.  Simplify :- [x⁵⁺ⁿ × (x²)^{3n + 1}] ÷ x^7n-2 

6.  By what number should (2/7)^-2 be multiplied so that the product is equal to (8/7)^-1

7.  Simplify :- [(729)^-2]^-3 ÷ [{(27)²}³]²

8.  Solve : (6 + 4 + 2)⁰

9.  when we simplify this (ab)^m-n . (bc)^n-1 . (ca)^1-m we get  a^1-n b^m-1 c^n-m 

10.  Solve for x :- (2/5)^x-2 = (25/4)³