Home
Class 9
MATHS
Simplify: (2^(n+4)-2(2^(n)))/(2(2^(n+3))...

Simplify: `(2^(n+4)-2(2^(n)))/(2(2^(n+3)))`

A

`(2^(n+1)-(1)/(8))`

B

`-2^(n+1)`

C

`1-2^(n)`

D

`7//8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Match the following)|3 Videos

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Assertion & Reason type)|5 Videos

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise NCERT questions (Exercise 1.6)|3 Videos

  • LINES AND ANGLES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

Similar Questions

Explore conceptually related problems

Simplify 2m(5m+4n)

The value of (2^(n+4)-2*2^(n))/(2.2^(n+3))+2^(-3)

Find the value of ( 2^(n+4) - 2 ( 2^n )) / ( 2(2^(n+3) )

Simplify :(16xx2^(n+1)-4xx2^(n))/(16xx2^(n+2)-2xx2^(n+2))

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

Simplify (6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^(n))

Simplify : (x^(2^(n-1)) + y^(2^(n-1)))(x^(2^(n-1)) - y^(2^(n-1)))

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

MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-EXERCISE (Multiple choice Question(Level-1))
  1. The value of (root(6)(27)-sqrt(6(3)/(4)))^(2) equals

    Text Solution

    |

  2. The rational number between 1//2 and 1//3 is

    Text Solution

    |

  3. Simplify: (2^(n+4)-2(2^(n)))/(2(2^(n+3)))

    Text Solution

    |

  4. If (a+(1)/(a))^(2)=9, then a^(3)+(1)/(a^(3)) equals

    Text Solution

    |

  5. If both 'a' and 'b' are rational numbers, then 'a' and 'b' from (3-sqr...

    Text Solution

    |

  6. (2sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(5)) equals

    Text Solution

    |

  7. If 25^(x-1)=5^(2x-1)-100, then find the value of x.

    Text Solution

    |

  8. If x=2-sqrt(3), then the values of x^(2)+(1)/(x^(2)) and x^(2)-(1)/(x^...

    Text Solution

    |

  9. 4^(44)+4^(44)+4^(44)+4^(44)=4^x ,t h e nx

    Text Solution

    |

  10. The 100^(th) root of 10^((10^(10))) is

    Text Solution

    |

  11. Which of the following numbers has the terminating decimal representat...

    Text Solution

    |

  12. Which of the following numbers can be represented as non-terminating r...

    Text Solution

    |

  13. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ?

    Text Solution

    |

  14. if x= 9 + 4sqrt(5) find the value of sqrt(x) - 1/sqrt(x)

    Text Solution

    |

  15. If x=(1)/(sqrt(5)-2), find the value of x^(3)-3x^(2)-5x+3 .

    Text Solution

    |

  16. The smallest rational number by which 1//3 should be multiplied so tha...

    Text Solution

    |

  17. Evaluate : (27)^(-(1)/(3)).(27)^(-(1)/(3))[(27)^((1)/(3))-(27)^((2)/(3...

    Text Solution

    |

  18. If (2^(m+n))/(2^(n-m))=16,(3^(p))/(3^(n))=81 and a=2^(1//10) then (a^(...

    Text Solution

    |

  19. Find the value of (4)/((216)^(-2//3))-(1)/((256)^(-3//4))

    Text Solution

    |

  20. Find the value of ((x^(a+b))^(2)(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(...

    Text Solution

    |