Home
Class 9
MATHS
Assuming that x , y , z are positive rea...

Assuming that `x , y , z` are positive real numbers, simplify each of the following: (i) `(x^(-2/3) y^(-1/2))^2`

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|23 Videos
  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (i)\ ((x^(-4))/(y^(-10)))^(5/4) (ii)\ ((sqrt(2))/(sqrt(3)))^5\ (6/7)^2

Assuming that x , y , z are positive real numbers, simplify each of the following: (i) (sqrt(x))^(-2/3)\ \ sqrt(y^4)\ -:\ sqrt(x y^(-1/2))

Assuming that x , y are positive real numbers, simplify each of the following: (i) sqrt(x^(-2)y^3) (ii) (x^(-2)doty^(-1/2))^2 (iii) (sqrt(x^(-3)))^5

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (i)\ (sqrt(x^(-3)))^5 (ii) sqrt(x^-2y^(3)) (iii) (x^(-2/3)\ y^(-1/2\ ))^2

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (sqrt(x))^(-2/3)\ sqrt(y^4)-:\ sqrt(x y^(-1/2)) (ii) root(5)(243\ x^(10)y^5z^(10))

Assuming that x , y , z are positive real numbers, simplify each of the following: (i)\root(3)(x y^2) \ -:\x^2y (ii)\ root(4)root(3)(x^2)

If x, y, z are positive real numbers such that x+y+z=a, then

Simplify each of the following: (i) 7x^3y+9y x^3 (ii) 12 a^2b+3b a^2

Simplify each of the following: 2x-{5y-(x-2y)} 2x-[3y-{2x-(y-x)}]

Simplify the following (2x - 3y) (2x+3y)

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Simplify each of the following by removing radical signs and negative ...

    Text Solution

    |

  2. Simplify each of the following by removing radical signs and negative ...

    Text Solution

    |

  3. Assuming that x , y , z are positive real numbers, simplify each of th...

    Text Solution

    |

  4. Assuming that x , y , z are positive real numbers, simplify each of th...

    Text Solution

    |

  5. Assuming that x , y , z are positive real numbers, simplify each of th...

    Text Solution

    |

  6. If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(...

    Text Solution

    |

  7. If ((x^(-1)y^2)/(x^3y^(-2)))^1.\ ((x^6\ y^(-3))/(x^2\ y^3))^(1/2)=x^a ...

    Text Solution

    |

  8. If x=\ 28^(1/3)\ \ a n d\ y=\ 27^(1/3) find the value of x-y-1/(x^2+x...

    Text Solution

    |

  9. If x=3,\ find the value of (x^(1/3)+\ x^(-1/3))\ (x^(2/3)+x^(-2/3)-1\...

    Text Solution

    |

  10. If 25^(n-1) + 100 = 5^ (2n-1), find the value of n :

    Text Solution

    |

  11. Solve the equation for x : (i)\ 4^(2x)=1/(32) (ii)\ sqrt((3/5)^(1-...

    Text Solution

    |

  12. Solve the equation for x : (5^0+2/3)^2 =(0. 6)^(3-2x)

    Text Solution

    |

  13. Solve the equation for x : 2^3(5^0+3^(2x))=\ 8 8/(27)

    Text Solution

    |

  14. Solve the equation: 3(2^x+1)-2^(x+2)+5=0

    Text Solution

    |

  15. Solve the equations for x\ a n d\ y: 3^x=9\ xx\ 3^y ,\ 8\ xx\ 2^y=4^x

    Text Solution

    |

  16. Solve the equation for x\ a n d\ y (32)^x-:2^(y+1)=1,\ 16^(4-x/2)-8^y...

    Text Solution

    |

  17. If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

    Text Solution

    |

  18. If a^x=b^y=c^z\ a n d\ b^2=a c , prove that y=(2x z)/(x+z)

    Text Solution

    |

  19. Assuming that x ,\ y ,\ z are positive real numbers, simplify each of ...

    Text Solution

    |

  20. Assuming that x ,\ y ,\ z are positive real numbers, simplify each of ...

    Text Solution

    |