Home
Class 9
MATHS
Simplify each of the following by removi...

Simplify each of the following by removing radical signs and negative indices wherever they occur:
(i) `sqrt(4)^((-3)/4)` (ii) `sqrt(5)^(-3)xxsqrt(2)^(-3)` (iii) `1/(4^(-5)3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Simplify each of the following by removing radical signs and negative indices wherever they occur: (25)^(-(1)/(3))x163 (ii) (83)^(-(1)/(2))(sqrt(4))^(-7)x(sqrt(2))^(-5)

Evaluate each of the following by removing radical signs and negative indices wherever they occur: (27)^(-(2)/(3)) (ii) ((64)/(25))^(-(3)/(2))

Evaluate each of the following by removing radical signs and negative indices wherever they occur: (64)^((1)/(3)) (ii) (125)^(-(1)/(3))(27)^(-(2)/(3))( iv) ((64)/(25))^(-(3)/(2))

(1)/(4sqrt(3)-3sqrt(5))

Simplify each of the following by rationalising the denominator,(1)/(5+sqrt(2)) (ii) (5+sqrt(6))/(5-sqrt(6)) (iii) (7+3sqrt(5))/(7-3sqrt(5)) (iv) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Simplify each of the following: (i) (3)/(sqrt(3)-sqrt(2)+sqrt(5))

Simplify each of the following by rationalising the denominator: (7+3sqrt(5))/(7-3sqrt(5)) (ii) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Simplify : (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Evaluate the following: (i) sqrt(-25)xx(-81) (ii) sqrt(-36)xxsqrt(16) (iii) 4sqrt(-4)+5sqrt(-9)-3sqrt(-16)

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Simplify ((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3)) (16xx 2^(n...

    Text Solution

    |

  2. Simplify: ((81)/(16))^(-3/4)xx[((25)/9)^((-3)/2)-:(5/2)^(-3)]

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If x= 28^(1/3) and y= 27^(1/3) find the value of x+y-1/(x^2+x y+y^2)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |