Home
Class 7
MATHS
if (9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)...

if `(9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)=1/(27),` find the value of `n`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DECIMALS

    RD SHARMA ENGLISH|Exercise All Questions|116 Videos

  • FRACTIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

If (9^n*3^2*(3^(-n/2))^(-2)-(27)^n)/(3^(3m)*2^3)=1/(27), Prove that m-n=1.

If (9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ 27^n)/(3^(3m)\ xx\ 2^3)=1/(27) , prove that m-n=1

Find (3)/((-5))xx(15)/(27)

If L= lim_(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^(2)+1))) , then the value of L^(4) is _____________. (a) -1/4 (b) 1/2 (c) 1 (d) none of the above

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of n .

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

Simplify : (3xx27^(n+1)+9xx3^(3n-1))/(8xx3^(3n)-5xx27^(n))

Simplify : (8^(3a)xx2^(5)xx2^(2a))/(8xx3^(3n)-5xx27^(n))

Simplify : (3xx9^(n+1)-9xx3^(2n))/(3xx3^(2n+3)-9^(n+1))

Simplify : (5^(n+3)-6xx5^(n+1))/(9xx5^(n)-5^(n)xx2^(2))

RD SHARMA ENGLISH-EXPONENT-All Questions
  1. Find the value of n in each of the following: (i)8xx2^(n+2)=32 (ii) 7^...

    Text Solution

    |

  2. Find the value of n in each of the following: (3/2)^4xx(3/2)^5=(3/2)^(...

    Text Solution

    |

  3. if (9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)=1/(27), find the value of n

    Text Solution

    |

  4. Express the following numbers in the standard from: (i)3,90,878       ...

    Text Solution

    |

  5. Write the following numbers in the usual form: (i)7.54xx10^6 (ii) 9....

    Text Solution

    |

  6. Express the following numbers in the standard form: (i)3908. 78 (ii)...

    Text Solution

    |

  7. Express the following numbers in the standard form: 3,18,65,00,000 (ii...

    Text Solution

    |

  8. Write the following numbers in the usual from: (i)4. 83xx10^7 (ii) 3...

    Text Solution

    |

  9. Express the numbers appearing in the following statements in the sta...

    Text Solution

    |

  10. Write the following numbers in the expanded exponential forms: (i)200...

    Text Solution

    |

  11. Write the following numbers in the expanded exponential forms: (i) 780...

    Text Solution

    |

  12. Find the numbers from each of the following expanded forms: 7xx10^4+6x...

    Text Solution

    |

  13. Find the numbers from each of the following expanded forms: 1)9xx10^5...

    Text Solution

    |

  14. (6^(-1)-8^(-1))^(-1) = (a)1/(24) (b) 24 (c)-24 (d) -1/(24)

    Text Solution

    |

  15. Find: 2^(3^2) = (a)64                                         (b)...

    Text Solution

    |

  16. (3^(-1)xx5^(-1))^(-1) = (a)1/(15)\ \ \ (b) -1/(15) (c) 15 (d) -15

    Text Solution

    |

  17. (-3/5)^(-1) = (a)3/5 (b) 5/3 (c)-5/3 (d) -3/5

    Text Solution

    |

  18. (-1)^(301)+(-1)^(302)+(-1)^(303)+ ....+(-1)^(400) (b) 101 100 (d) 0

    Text Solution

    |

  19. If a=25 , then a^((25)^0)+a^(0^(25))= (a)25 (b) 26 (c)24 (d) ...

    Text Solution

    |

  20. {(1/3)^(-3)-(1/2)^(-3)}-:(1/4)^(-3) = (a)(19)/(64) (b) (64)/(19) (c...

    Text Solution

    |