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Prove that the result : ((2^(a) )/( ...

Prove that the result :
` ((2^(a) )/( 2^(b)) ) ^(a+b) xx( (2^(b))/( 2^(c))) ^(b+c) xx( (2^(c))/( 2^(a)))^(c+a)=1`

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KUMAR PRAKASHAN-NUMBER SYSTEMS-Skill Testing Exercise
  1. Simplify : (2)/(sqrt5+ sqrt3) + (1)/(sqrt3+sqrt2) - (3)/(sqrt5+sqr...

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  2. Simplify (sqrt5-2)/( sqrt5+2) - (sqrt 5+2)/( sqrt5-2)

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  3. Simplify : (5+sqrt3)/(7- 4sqrt3) -(5-sqrt3)/( 7+4sqrt3)

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  4. If a + 8 sqrt5 b = ( 8+ sqrt5)/( 8- sqrt5) , find a and b ,

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  5. Find the values of a and b . If (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)=...

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  6. Find a and b , if (4+ sqrt2)/( 2+sqrt2) = a- bsqrtb.

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  7. Find a and b . If (4+ sqrt5)/( 2+sqrt5) = a+bsqrt5.

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  8. Represent sqrt(5) on the number line.

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  9. If x= 5 and y=2 find the values of : (x^(y)+ y^(x) )

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  10. If x= 5 and y=2 find the values of : (x^(x) + y^(y)) ^(-1)

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  11. Simplify : [ 5^(2) (8^((1)/(3)) +27^((1)/(3)) )^(3) ]^((1)/(5))

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  12. Evaluate : ( -(1)/(27)) ^(-(2)/(3))

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  13. Evaluate : 3(40)^(1/3)-4 (320)^(1/3)-(5)^(1/3)

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  14. Simplify : ((25)^((3)/(2)) xx ( 343 )^((1)/(5)))/( 16^((5)/(4)) xx ...

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  15. Evaluate : ((64)/( 125))^(-(2)/(3)) +(1)/(((256)/(625) ) ^((1)/(4))...

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  16. If a =( sqrt3) /( 7) and (7)/(a) = bsqrt3 , then find the value of...

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  17. If (4)^(2x- 1) - (16)^(x-1) = 384. find the value of x .

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  18. Prove that the result : ((2^(a) )/( 2^(b)) ) ^(a+b) xx( (2^(b))/( ...

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  19. Write the following in the ascending order of their magnitude: sqrt...

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  20. If ((3)/(4))^(6) xx((16)/( 9)) ^(5)= ((4)/( 3) ) ^(x+2) find the val...

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