Home
Class 9
MATHS
Simplify each of the following: (i)\ ((2...

Simplify each of the following: `(i)\ ((243)/(32))^(-4/5)` `(ii)\ (32)^(-3/5)`

Text Solution

Verified by Experts

`(i)((243)/(32))^(-4/5)`
`=(3^5/2^5)^(-4/5)=(3/2)^(-4)=(2/3)^4=16/81`

`(ii) (32)^(-3/5)`
`=(2^5)^(-3/5)=2^(-3)=(1/2)^3=1/8`
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: (i) (16)^((1)/(5))xx(2)^((1)/(5)) (ii) ((243)^((1)/(4)))/((3)^((1)/(4)))

Simplify the following: (5i)(-(3)/(5)i)

Simplify each of the following : (i)((16)^(5/(4))xx(8)^(4/(3)))/((25)^(3/(2))xx(243)^(3/(5)))" "(ii)(2^(n)+2^(n-1))/(2^(n+1)-2^(n))

3. Simplify the following: (3/5)^4(8/5)^(-12)(32/5)^6

Simplify : (i) ((243)/(32))^((4)/(5)) (ii) root(3)((343)^(-2))

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

Simplify each of the following: root(5)(16)xx root(5)(2) (ii) (root(4)(243))/(root(4)(3))

Simplify the following : (i) [i^(19) +(1)/(i^(25))]^(2) (ii) [i^(5)- (1)/(i^(3))]^(4)

Find the value of the following: (1) ((32)/(243))^((4)/(5)), ((25)/(49))^((7)/(2))

Simplify and write each of the following in exponential form: (2^3)^4 (ii) ((-3)^5)^3

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |