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Prove that: (2^(1/2)\ x\ 3^(1/3)\ x\ 4^(...

Prove that: `(2^(1/2)\ x\ 3^(1/3)\ x\ 4^(1/4))/(10^(-1/5)\ x\ 5^(3/5))\ -:(3^(4/3)\ x\ 5^(-7/5))/(4^(-3/5)\ x\ 6)=10`

A

1

B

a

C

b

D

c

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The correct Answer is:
C
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Prove that: (2^((1)/(2))x3^((1)/(3))x4^((1)/(4)))/(10^(-(1)/(5))x5^((3)/(5)))-:(3^((4)/(3))x5^(-(7)/(5)))/(4^(-(3)/(3))x6)=10

(2^((1)/(2))xx3^((1)/(3))xx4^((1)/(4)))/(10^(-(1)/(5))xx5^((3)/(5)))-:(3^((4)/(3))xx5^(-(7)/(5)))/(4^(-(3)/(5))xx6)=10

(4x-3)/5-(5x-3)/8=1

Simplify : (4^(-1)x\ 3^(-1))^2 (ii) (5^(-1)-:6^(-1))^3 (2^(-1)+\ 3^(-1))^(-1) (iv) (3^(-1)x\ 4^(-1))^(-1)x\ 5^(-1)

Simplify: {4^(-1)x\ 3^(-1)}^2 (ii) \ \ \ {5^(-1)-:6^(-1)}^3 (2^(-1)+\ 3^(-1))^(-1) (iv) {3^(-1)x\ 4^(-1)}^(-1)\ x\ 5^(-1) (4^(-1)-\ 5^(-1))-:3^(-1)

((2x-5))/(3)+((5x-4))/(4)=1

Solve : (3)/(5)(4x-9) - (5)/(4)(3x-8) = 5-(7)/(10)(2x-1) .

Add: (3x^(2) - (1)/(5)x + (7)/(3)) + ((-1)/(4)x^(2) + (1)/(3)x - (1)/(6)) + (-2x^(2) - (1)/(2)x + 5)

Show that: (x^(2)+y^(2))^(5)=(x^(5)-10x^(3)y^(2)+5xy^(4))^(2)+(5x^(4)-10x^(2)y^(3)+y^(5))^(2)

Take away: (6)/(5)x^(2)-(4)/(5)x^(3)+(5)/(6)+(3)/(2)x om (x^(3))/(3)-(5)/(2)x^(2)+(3)/(5)x+(1)/(4)

S CHAND IIT JEE FOUNDATION-EXPONENTS -QUESTION BANK
  1. The value of (5.(25)^(n+1) + 25.(5)^(2n-1))/(25.(5)^(2n) -105(25)^(n-1...

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  2. If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2) then the value of a is

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  3. What is the expression (x+y)^(-1) (x^(-1) +y^(-1)) (xy^(-1) +x^(-1)y)^...

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  4. If 2^(x) - 2^(x-1)=4, then what is the value of 2^(x) + 2^(x-1) ?

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  5. If x=y^(z), y = z^(x) and z=x^(y), then

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  6. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

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  7. Find the value of x if [3^(2x-2) +10] // 13=7

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  8. Prove that: (2^(1/2)\ x\ 3^(1/3)\ x\ 4^(1/4))/(10^(-1/5)\ x\ 5^(3/5))\...

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  9. x^((a+b-c)/((a-c)(b-c))) . x^((b+c-a)/((b-a)(c-a))) . x^((c+a-b)/((c-b...

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  10. The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p...

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  11. The largest number among the following is:

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  12. If 6^(x) -36=7740, then x^(x) =

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  13. The value of: (9^(x)(9^(x-1)))^(x)/(9^(x+1).3^(2x-2)){(729^(x/3))/8...

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  14. Find the value of (2^(1//4)- 1) (2^(3//4) + 2^(1//2) +2^(1//4) + 1)

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  15. Simplify: (a^(1/2) +a^(-1/2))/(1-a) + (1-a^(-1/2))/(1-sqrt(a))

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  16. If 3^(x+y) =81 and 81^(x-y) = 3, then the value of x and y are:

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  17. Find x, If 8^(x-2) xx (1/2)^(4-3x) = (0.0625)^(x)

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  18. Find the value of the expression ((x^(a+b))^2xx (x^(b+c))^2xx(x^(c+a))...

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  19. If (2.4)^(x) =(0.24)^(y) =10^(z), then show that 1/x - 1/z =1/y

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  20. If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) +...

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