Home
Class 9
MATHS
If x=a^(m+n),\ y=a^(n+l) and z=a^(l+m) ,...

If `x=a^(m+n),\ y=a^(n+l)` and `z=a^(l+m)` , prove that `x^m y^n z^l=x^n y^l z^m`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c=x^(l+m)y^n , prove that a^(m-n)\ b^(n-l)\ c^(l-m\ )=1

If a = x^(m + n) . Y^(l), b = x^(n + l). Y^(m) and c = x^(l + m) . Y^(n) , Prove that : a^(m-n) . b^(n - 1) . c^(l-m) = 1

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0 .

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0

If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

If x^m y^n=(x+y)^(m+n) , prove that (dy)/(dx)=y/x .

If x^m y^n=(x+y)^(m+n), Prove that (dy)/(dx)=y/xdot

If the m th, n th and p th terms of an AP and GP are equal and are x , y , z , then prove that x^(y-z) . y^(z-x) z^(x-y)=1

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Show that: ((a+1/b)^m xx\ (a-1/b)^n)/((b+1/a)^m\ xx\ (b-1/a)^n)=(a/b)^...

    Text Solution

    |

  2. If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c=x^(l+m)y^n , prove that a^(m-...

    Text Solution

    |

  3. If x=a^(m+n),\ y=a^(n+l) and z=a^(l+m) , prove that x^m y^n z^l=x^n y^...

    Text Solution

    |

  4. Write (625)^(-1/4) in decimal form

    Text Solution

    |

  5. State the product law of exponents.

    Text Solution

    |

  6. State the power law of exponents

    Text Solution

    |

  7. For any positive real number x , find the value of ((x^a)/(x^b))^(a+b)...

    Text Solution

    |

  8. Write the value of {5"("8^(-1/2)"}"^(-1/4)}^2

    Text Solution

    |

  9. For any positive real number x;write the value of {(x^a)^b}^(1/(ab)) {...

    Text Solution

    |

  10. If (x-1)^3=8, what is the value of (x+1)^2\ ?

    Text Solution

    |

  11. If 2^4\ xx\ 4^2=16^x , then find the value of x ?

    Text Solution

    |

  12. If 3^(x-1)=9 and 4^(y+2)=64 , what is the value of x/y\ ?

    Text Solution

    |

  13. Write the value of root(3)(7)\ xx\root(3)( 49)

    Text Solution

    |

  14. Write (1/9)^(-1/2)\ xx\ (64)^(-1/3) as a rational number.

    Text Solution

    |

  15. Write the value of root(3)(125)\ xx\ root(3)(27)

    Text Solution

    |

  16. The value of {2-3(2-3)^3}^3 is (a)5 (b) 125 (c) 1/5 (d) -12...

    Text Solution

    |

  17. Which one is the correct option (256)^(0. 16)xx(256)^(0. 09)=? a. 4...

    Text Solution

    |

  18. If 10^(2y)=\ 25\ , then 10^(-y) equals (a)-1/5 (b) 1/(50) (c)...

    Text Solution

    |

  19. The value of x-y^(x-y) when x=2 and y=-2 is (a)18 (b) -18\ (c...

    Text Solution

    |

  20. The product of the square root of x with the cube root of x is (a) cub...

    Text Solution

    |