Home
Class 7
MATHS
Find the value of n in each of the follo...

Find the value of n in each of the following:
(i) `2^(n-7)xx5^(n-4)=1250`
(ii) `5^(n-2)xx3^(2n-3)=135`

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

Find the value of n in each of the following: (i) 5^(2n)xx5^3=5^(11) (ii) 9xx3^n=3^7

Find the value of n in each of the following: (i) 8xx2^(n+2)=32 (ii) 7^(2n+1)-:49=7^3

Find the value of n in each of the following: (2^2)^n=(2^3)^4 (ii) 2^(5n)-:2^n=2^4 (iii) 2^n^(-5)xx5^n^(-4)=5

Find the value of n in each of the following: (3/2)^4xx(3/2)^5=(3/2)^(2n)^(+1) (2/3)^(10)xx{(3/2)^2}^5=(2/3)^(2n)^(-2)

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

Simplify each of the following : (i)((16)^(5/(4))xx(8)^(4/(3)))/((25)^(3/(2))xx(243)^(3/(5)))" "(ii)(2^(n)+2^(n-1))/(2^(n+1)-2^(n))

Find the value of n : (2^(3)xx5^(n+1)xx10^(2)xx5^(n-1))/(125xx5^(n-2)xx2^(7))=(25)/(4)

Simplify each of the following: (a)\ (7^n-3\ xx\ 7^(n+1))/(20\ xx\ 7^n-2\ xx\ 7^n) (b)\ (5^n-6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^2xx\ 5^n) (c)\ (16\ xx\ 2^(n+1)-4\ xx\ 2^n)/(16\ xx\ 2^(n+2)-2\ xx\ 2^(n+2))

find the value of n, given : (4^(n-2)xx2^(n-5)xx6xx2^(n+3))/(3xx6^(2))=(4)/(18)

Find the value of n such that "(i) "^(n)P_(5) =42 xx ""^(n)P_(3), n gt 4 " (ii) "(""^(n)P_(4))/(" "^(n-1)P_(4))=(5)/(3), n gt 4.

RD SHARMA ENGLISH-EXPONENT-All Questions
  1. Compare the following numbers: (i) 2. 7xx10^(12) and 1. 5xx10^8 (ii...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the value of n in each of the following: (i) 2^(n-7)xx5^(n-4)=12...

    Text Solution

    |

  4. If 25^n^(-1)+100=5^(2n)^(-1), find the value of ndot

    Text Solution

    |

  5. Find n such that (2/3)^3xx(2/3)^5=(2/3)^n^(-2) ((125)/8)^5xx((125)/8)...

    Text Solution

    |

  6. If p/q=(2/3)^2-:(6/7)^0, find the value of (q/p)^3

    Text Solution

    |

  7. Find the value of m so that (-3)^(m+1)xx(-3)^5=(-3)^7

    Text Solution

    |

  8. Using laws of exponents simplify and write the answer in exponential ...

    Text Solution

    |

  9. Using laws of exponents simplify and write the answer in exponential ...

    Text Solution

    |

  10. Using laws of exponents simplify and write the answer in exponential ...

    Text Solution

    |

  11. Simplify and express each the following in exponential from: (i){(2^3...

    Text Solution

    |

  12. Simplify and express each the following in exponential from: (i)((5^7)...

    Text Solution

    |

  13. Simplify and express each of the following in exponential form: (i) {(...

    Text Solution

    |

  14. Simplify and express each of the following in exponential from: (i)(5...

    Text Solution

    |

  15. Write 9xx9xx9xx9xx9 in exponential from with base 3

    Text Solution

    |

  16. Simplify and write each of the following in exponential from: (a)(25)^...

    Text Solution

    |

  17. Simplify and write each of the following in exponential from: (i)(9^8...

    Text Solution

    |

  18. Simplify: (i) (3^5)^(11)xx(3^(15))^4-(3^5)^(18)xx(3^5)^5, (ii) (16xx2...

    Text Solution

    |

  19. Simplify: (i)(10xx5^(n+1)+25xx5^n)/(3xx5^(n+2)+10xx5^(n+1)) (ii) ((16)...

    Text Solution

    |

  20. Find the value of n in each of the following: (i)5^(2n)xx5^3=5^(11) ...

    Text Solution

    |