Home
Class 9
MATHS
Simplify that : ((x^2\ y^2)/(a^2b^3))^...

Simplify that : `((x^2\ y^2)/(a^2b^3))^n`

Text Solution

Verified by Experts

`((x^2 y^2)/(a^2b^3))^n`
`=(x^(2n)y^(2n))/(a^(2n)b^(3n))`
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 that: (2x^(-2)y^(3))^(3)

Simplify each : (4x+2y)^(3)+(4x-2y)^(3)

Simplify each : (4x+2y)^(3)-(4x-2y)^(3)

Simplify : (x^(4) - y^(4))/(x^(2) - y^(2))

Simplify : (3y)^(2) +x^(2)- (2y)^(2)

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Simplify that: ((4\xx\ 10^7)(6\ xx\ 10^(-5)))/(8\ xx\ 10^4)

    Text Solution

    |

  2. Simplify that: (4a b^2\ (-5a b^3))/(10 a^2b^2)

    Text Solution

    |

  3. Simplify that : ((x^2\ y^2)/(a^2b^3))^n

    Text Solution

    |

  4. Simplify that: ((a^(2n-9))^6)/(a^(2n-4))

    Text Solution

    |

  5. If a=3 and b=-2, find the values of: (i)\ a^a+b^b (ii)\ a^b+b^a (iii...

    Text Solution

    |

  6. Prove that: ((x^a)/(x^b))^(a^(2+a b+b^(2)))xx\ ((x^b)/(x^c))^(b^(2+b c...

    Text Solution

    |

  7. Prove that: ((x^a)/(x^b))^c\xx\ ((x^b)/(x^c))^a\ xx\ ((x^c)/(x^a))^b=1

    Text Solution

    |

  8. Prove that: 1/(1+x^(a-b))+1/(1+x^(b-a))=1

    Text Solution

    |

  9. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

    Text Solution

    |

  10. Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=abc

    Text Solution

    |

  11. Prove that: (a^(-1)+b^(-1))^(-1)=(ab)/(a+b)

    Text Solution

    |

  12. If a b c=1,\ show that 1/(1+a+b^(-1))+1/(1+b+c)+1/(1+c+a^(-1))=1

    Text Solution

    |

  13. Simplify the following: (i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1))...

    Text Solution

    |

  14. Simplify the following: (i)\ (5^(n+3)-\ 6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^...

    Text Solution

    |

  15. Solve the following equations for x (i)7^(2x+3)=1 (ii)2^(x+1)=4^x (...

    Text Solution

    |

  16. Solve the following equations for x\ : (i)\ 4^(2x)=1/(32)\ (ii)4^(x-1...

    Text Solution

    |

  17. Solve the following equations for x\ : (i)\ 2^(2x)-\ 2^(x+3)+2^4=0 ...

    Text Solution

    |

  18. If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\...

    Text Solution

    |

  19. If 1176=2^a xx\ 3^b xx\ 7^c , and a , b\ a n d\ c are natural numbers...

    Text Solution

    |

  20. Given 4725=3^a5^b7^c , find the integral values of a ,\ b\ a n d\ c t...

    Text Solution

    |