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Find the value of (320(32)^(1//6)(32)^(1...

Find the value of `(320(32)^(1//6)(32)^(1//36)oodot`

A

16

B

32

C

64

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
`(32)(32)^(1//6)(32)^(1//68)...`
`=32^(1+1/6+1/36...)`
`=32^((1)/(1-1//6))`
`=(2^(5))^(6//5)=64`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 18-PAPER 2 (MATHEMATICS)
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  2. If the sum of n terms of an A.P is 2n + 3n^2 , find the r^(th) term

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  3. Find the value of (320(32)^(1//6)(32)^(1//36)oodot

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  4. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

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  5. If n(A)=4" and "n(B)=6. Then, the number of one-one function from A to...

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  6. Let f(x) = (x^2 - 1)^(n+1) + (x^2 + x + 1). Then f(x) has local extrem...

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  7. Find the differential equation of all parabolas whose axes are paralle...

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  8. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

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  9. If p to (qvvr) is false, then the truth values of p,q, and r are, res...

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  10. Which of the following is not a proposition ?

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  11. The maximum value of Z = 4x + 2y subject to the constraints 2x+3y le ...

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  12. If |a|lt1|b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))...

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  13. In a Delta ABC " if " |(1,a,b),(1,c,a),(1,b,c)| =0, then sin^(2) A + s...

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  14. The probability that in the toss of two dice, we obtain the sum 7 or 1...

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  15. int(x^(e-1)+e^(x-1))/(x^(e)+e^(x)) dx is equal to

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  16. The area of the quadrilateral formed by the tangents at the end points...

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  17. lim(n to oo) ((1)/(n)+(1)/(n+1)+...+(1)/(3n)) is equal to

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  18. lim(x to 0)((x)/(sqrt(1+x)-sqrt(1-x))) is equal to

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  19. The equations 2x-3y+6z=4, 5x+7y-14z=1 3x+2y-4z=0, have

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  20. The equation of the plane containing the two lines (x-1)/2=(y+1)/(-1...

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