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What is the quotient when (x^(-1)-1) is ...

What is the quotient when `(x^(-1)-1)` is divided by `(x-1)?`

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The correct Answer is:
`- (1)/(x)`
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MCGROW HILL PUBLICATION-SURDS AND INDICES-MULTIPLE CHOICE QUESTIONS
  1. What is the quotient when (x^(-1)-1) is divided by (x-1)?

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  2. What is the value of [(( x^(y +1))^((y^(2))/(y^(2) -1)))^(1 -(1)/(y)) ...

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  3. What is the value of (a^(x(y - z)))/(a^(y(x - z))) + ((a^(y))/(a^(x)...

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  4. The value of ((x^(a))/(x^(b)))^(a+b) xx ((x^(b))/(x^(c)))^(b+c) xx ((x...

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  5. The value of ((x^(a))/(x^(b)))^((1)/(ab)) xx ((x^(b))/(x^(c)))^((1)/(b...

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  6. The value of (2^(m+1).3^(2m-n).5^(m+n).6^(n))/(6^m.10^(n+2).15^(m)) is...

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  7. The value of (3^(2-x) xx 9^(x- 2))/(3^x) is equal to

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  8. The value of ((27)^(n//3) xx (8)^(-n//6))/((162)^(-n//2)) is equal to

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  9. The value of (6^(n) xx 2^(2n) xx 3^(3n))/(30^(n) xx 3^(2n) xx 2^(3n)) ...

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  10. The value of (2^(1//2) xx 3^(1//3) xx 4^(1//4))/(10^(-1//5) xx 5^(3//5...

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  11. The value of (2^(n) + 2^(n -1))/(2^(n+1) -2^(n)) is equal to

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  12. The value of (6^(n+3) - 32.6^(n+1))/(6^(n+2) - 2.6^(n+1)) is equal to

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  13. If 16^(n+1) = 64 xx 4^(-n), the value of n is

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  14. If 9^(n) = (9)/(3^(n)) , the value of n is

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  15. If 32^(x- 2) = 64 + 8^x, the value of x is

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  16. If a = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) and b = (sqrt(3) - sqr...

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  17. If x = 2 + sqrt(3) and y = 2 - sqrt(3), find the value of x^(-2) + y^(...

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  18. If x = 2 + sqrt(3) and y = 2 - sqrt(3), find the value of x^(-3) + y^(...

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  19. If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), y=(sqrt(5)+sqrt(3))/(sqrt(5)...

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  20. If x = (sqrt(3) + 1)/(sqrt(3) -1) and y = (sqrt(3) -1)/(sqrt(3) + 1), ...

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  21. If a = (1)/(2 - sqrt(3)) , b = (1)/(2 + sqrt(3)), find the value of ((...

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