Home
Class 9
MATHS
Simplify. (i) ((15^(1//3))/(9^(1//4))...

Simplify.
(i) `((15^(1//3))/(9^(1//4)))^(-6)` (ii) `((12^(1//5))/(27^(1//5)))^(5//2)` (iii) `((15^(1//4))/(3^(1//2)))^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(27)/(225)` (ii) `(2)/(3)` (iii) `(3)/((15)^(1//2))`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise MCQ|75 Videos

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise ASSERTION -AND- REASON TYPE|4 Videos

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise Exercise 1F|25 Videos

  • MEAN , MEDIAN AND MODE OF UNGROUPED DATA

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|18 Videos

  • POLYNOMIALS

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|32 Videos

Similar Questions

Explore conceptually related problems

Simplify ((15^(1/3))/(9^(1/4)))^(-6)

Simplify (i) (6^(1//4))/(6^(1//5)) (ii) (8^(1//2))/(8^(2//3)) (iii) (5^(6//7))/(5^(2//3))

Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1/3)) (iv) 13^(1/5). 17^(1/5)

Simplify : (i) 2^(2//3).2^(1//5) (ii) ((1)/(3^(3)))^(7) (iii) (11^((1)/(2)))/(11^((1)/(4))) (iv) 7^(1//2).8^(1//2)

Simplify : 2(3)/(4)-1(5)/(6)

Simplify (i) (3^(4))^((1)/(2)) (ii) (64)^((1)/(6)) (iii) ((1)/(3^(4)))^((1)/(2))

simplify (i) (1^(3)+2^(3)+3^(3))^(1/2) (ii) (3/5)^(4)(8/5)^(-12)(32/5)^(6) ,(iii) (1/27)^(-2/3) (vi) [((625)^(-1/2)))^(-1/4)]^(2) ,(v) (9^(1/3)xx27^(-1/2))/(3^(1/6)xx3^(-2/3)) (vi) 64^(-1/3)[64^(1/3)-64^(2/3)] (8^(1/3)xx16^(1/3))/(32^(-1/3)

Simplify : (i) 2^(2/3). 2^(1/5) (ii) (1/(3^3))^7 (iii) (11^(1/2))/(11^(1/4)) (iv) 7^(1/2). 8^(1/2)

Simplify (sqrt(2)*(3)^((1)/(3))*(4)^((1)/(4)))/((10^(-1))^((1)/(5))*(5)^((3)/(5)))

Simplify (i) 3^((1)/(4)) xx 5^((1)/(4)) (ii) 2^((5)/(8)) xx 3^((5)/(8)) (iii) 6^((1)/(2)) xx 7^((1)/(2))

RS AGGARWAL-NUMBER SYSTEMS-Exercise 1G
  1. Simplify (i) 2^((2)/(3)) xx 2^((1)/(3)) (ii) 2^((2)/(3)) xx 2^((1...

    Text Solution

    |

  2. Simplify (i) (6^(1//4))/(6^(1//5)) (ii) (8^(1//2))/(8^(2//3)) (iii)...

    Text Solution

    |

  3. Simplify (i) 3^((1)/(4)) xx 5^((1)/(4)) (ii) 2^((5)/(8)) xx 3^((5)/(...

    Text Solution

    |

  4. Simplify (i) (3^(4))^((1)/(2)) (ii) (64)^((1)/(6)) (iii) ((1)/(3^(4)...

    Text Solution

    |

  5. Evalute (i) (125)^((1)/(3)) (ii) (64)^((1)/(6)) (iii) (25)^((3)...

    Text Solution

    |

  6. If a=2, b= 3 find the values of (a^(b) + b^(a))^(-1) (ii) (a^(a...

    Text Solution

    |

  7. Simplify (i) ((81)/(49))^(-(3)/(2)) (ii) (14641)^(0.25) (iii) ((32...

    Text Solution

    |

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

    Text Solution

    |

  9. Evaluate (i) (1^(3) + 2^(3) + 3^(3))^((1)/(2)) (ii) [5(8^((1)/(2))...

    Text Solution

    |

  10. Prove that . (i) [8^(-(2)/(3)) xx 2^((1)/(2))xx 25^(-(5)/(4))] div[...

    Text Solution

    |

  11. Simplify root(4)root(3)(x^(2)) and express the result in the exponen...

    Text Solution

    |

  12. The product root3(2).root4(2). root12(32) equal to

    Text Solution

    |

  13. Simplify. (i) ((15^(1//3))/(9^(1//4)))^(-6) (ii) ((12^(1//5))/(27^(...

    Text Solution

    |

  14. Find the value of x in each of the following . (i) root5(5x + 2) =...

    Text Solution

    |

  15. Prove that. (i) sqrt(x^(-1) y) .sqrt(y^(-1) z) . Sqrt(z^(-1) x) = 1...

    Text Solution

    |

  16. If x is a positive real number and the exponents are rational numbe...

    Text Solution

    |

  17. If (9^(n)xx3^(2)xx(3^(-n//2))^(-2)-(27)^(n))/(3^(3m)xx2^(3))=(1)/(27),...

    Text Solution

    |

  18. Write the following in ascending order of magniude . root(6)(6),...

    Text Solution

    |