Home
Class 14
MATHS
Simplify : ((x^a)/(x^b))^(a^2+b^2+ab)xx(...

Simplify : `((x^a)/(x^b))^(a^2+b^2+ab)xx((x^b)/(x^c))^(b^2+c^2+bc)xx((x^c)/(x^a))^(c^2+a^2+ca)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos

  • TABULATION

    RS AGGARWAL|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

Simplify: ((x^(a))/(x^(-b)))^(a-b)xx((x^(b))/(x^(-c)))^(b-c)xx((x^(c))/(x^(-a)))^(c-a)

The value ((x^a)/(x^b))^((a^2 + ab + b^2)) ((x^b)/(x^c))^((b^2 + bc + c^2))((x^c)/(x^a))^((c^2 + ca + a^2)) is :

Simplify: ((x^(b))/(x^(c)))^(a)xx((x^(c))/(x^(a)))^(b)xx((x^(a))/(x^(b)))^(c)

Prove that: ((x^(a))/(x^(b)))^(a)-2+ab+b^(2)x((x6b)/(x^(c)))^(b)-2+bc+c^(2)x((x^(c))/(x^(a)))^(c)-2+ca+a^(2)

The value of (x^a/x^b)^(a^2+ab+b^2)(x^b/x^c)^(b^2+bc+c^2)(x^c/x^a)^(c^2+ca+a^2)

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. If (p/q)^(r x-s)=(q/p)^(p x-q) , then find the value of x.

    Text Solution

    |

  2. If x=y^a ,\ y=z^b and z=x^c then find the value of a b c.

    Text Solution

    |

  3. Simplify : ((x^a)/(x^b))^(a^2+b^2+ab)xx((x^b)/(x^c))^(b^2+c^2+bc)xx((x...

    Text Solution

    |

  4. If 8^x * 2^y=512\ and\ 3^(3x+2y)=9^6, then find the value of x and y ?

    Text Solution

    |

  5. Find the largest from among root(4)6,\ sqrt(2)\ and\ root(3)4.

    Text Solution

    |

  6. Find the square root of (3+sqrt(5)) .

    Text Solution

    |

  7. If x=3+2sqrt(2) then find sqrt(x)-1/sqrt(x)

    Text Solution

    |

  8. If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

    Text Solution

    |

  9. Given t=2+root(3)4+root(3)2, determine the value of t^3-6t^2+6t-2.

    Text Solution

    |

  10. root(3)5 is a surd of the order a. 1/3 b. 1 c. 2 d. 3

    Text Solution

    |

  11. 5^0xx8=? 0 b. 8 c. 40 d. 200

    Text Solution

    |

  12. Which of the following are equal in value? I. 4^1 II. 1^4 III. 4^0 IV....

    Text Solution

    |

  13. If 289=17^(1/5x),\ then\ x=? a. 2/5 b. 8 c. 16 d. 32

    Text Solution

    |

  14. (81)^4-:(9)^5=? 9 b. 81 c. 729 d. 6561

    Text Solution

    |

  15. The value of ((9^2xx18^4)/(3^(16))) is a. 3/2 b. 4/9 c. (16)/(81) d. ...

    Text Solution

    |

  16. [4^3xx5^4]-:4^5=? 29. 0825 b. 30. 0925 c. 35. 6015 d. 39. 0625

    Text Solution

    |

  17. 9^3 xx 6^2 -: 3^3=? a. 948 b. 972 c. 984 d. 1012

    Text Solution

    |

  18. (19)^(12)xx(19)^8-:(19)^4=(19)^? 6 b. 8 c. 12 d. 24

    Text Solution

    |

  19. (64)^4-:(8)^5=? (8)^8 b. (8)^2 c. (8)^(12) d. (8)^4

    Text Solution

    |

  20. 1000^12 -:10^30=? a. 1000^2 b. 10 c. 100 d. 100^2 e. None of these

    Text Solution

    |