Home
Class 9
MATHS
Evaluate each of the following (i) (64...

Evaluate each of the following
(i) `(64)^(1/3)` (ii)`(125)^((-1)/3)` (iii) `(27)^((-2)/3)` (iv)` ((64)/(25))^((-3)/2)`

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

Evaluate each of the following : (i)(32)^(1//5)" "(ii)(27)^(-1//3)" "(iii)((16)/(81))^(-1//4)

Evaluate the following (i) (3sqrt64)^((-1)/2)" "(ii) (121/169)^(-3//2)

Factorise each of the following: (i) 27y^(3)+125z^(3) (ii) 64m^(3)-343n^(3)

Factorise each of the following : (i) 27y^(3)+125z^(3) (ii) 64m^(3)-343n^(3)

Find the conjugate of each of the following : {:((i),(-5-2i),(ii),(1)/((4+3i)),(iii),((1+i)^(2))/((3-i)),(iv),((1+i)(2+i))/((3+i))),((v),sqrt(-3),(vi),sqrt(2),(vii),-sqrt(-1),(viii),(2-5i)^(2)):}

Evaluate (i) (32)^((1)/(5)) +(-7)^(0) + (64)^((1)/(2)) (ii) (0.00032)^(-(2)/(3)) (iii) ((64)/(125))^(-(2)/(3)) .

Find : (i) 64^(1//2) (ii) 32^(1//5) (iii) 125^(1//3)

Find the cube of each of the following (i) (-7) (ii) 1 2/3 (iii) 2.5 (iv) 0.05

64^(2/3)xx64^(1/3)xx64^((-5)/3)

Factorize the expression of the following (i)a^(3)+27(ii)27a^(3)+125b^(3)(iii)(2a+1)^(3)+(a-1)^(3)

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Find the value of : ((32)/(243))^(1/5)

    Text Solution

    |

  2. Find the value of: (1/(64))^(1/6)

    Text Solution

    |

  3. Evaluate each of the following (i) (64)^(1/3) (ii)(125)^((-1)/3) (ii...

    Text Solution

    |

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

    Text Solution

    |

  5. Simplify each of the following: (i)\ (625)^(-1/4) (ii)\ ((256)/(81))^(...

    Text Solution

    |

  6. Simplify each of the following: (i)\ ((243)/(32))^(-4/5) (ii)\ (32...

    Text Solution

    |

  7. [{(625)^(-1/4)}^(-1/2)]^2

    Text Solution

    |

  8. Simplify: (256)^-(4^(((-3)/2)))

    Text Solution

    |

  9. Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

    Text Solution

    |

  10. Simplify: sqrt(1/4)+(0. 01)^(-1/2)-(27)^(2/3)

    Text Solution

    |

  11. Simplify ((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3)) (16xx 2^(n...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |