Home
Class 9
MATHS
If\ \ sqrt(2^n)=1024 ,\ \ then 3^(2(n/4...

`If\ \ sqrt(2^n)=1024 ,\ \ ` then `3^(2(n/4-4))=`
(a)3
(b) 9
(c) 27
(d) 81

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 2^n=1024 , t h e n\ 2^(n/2+2) = (a)64 (b) 128 (c)256 (d) 512

If 3^x=6561 ,\ t h e n\ 3^(x-3) = (a)81 (b) 243 (c)729 (d) 27

If x=\ ^3sqrt(2+sqrt(3)) , then x^3+1/(x^3)= (a) 2 (b) 4 (c) 8 (d) 9

If (2^3)^2=4^x ,\ then 3^x= (a)3 (b) 6 (c) 9 (d) 27

The mean of first n odd natural numbers is (n^2)/(81) , then n= (a) 9 (b) 81 (c) 27 (d) 18

[{(-1/3)^2}^(-2)]^(-1) = (a) 1/(81) (b) 1/9 (c) -1/(81) (d) -1/9

If y=(1+t a n A)(1-t a n B), where A-B=pi/4, then (y+1)^(y+1) is equal to 9 (b) 4 (c) 27 (d) 81

The value of (sqrt(48)+\ sqrt(32))/(sqrt(27)+\ sqrt(18)) is (a) 4/3 (b) 4 (c) 3 (d) 3/4

If x^4+1/(x^4)=623 , then x+1/x=? (a)27 (b) 25 (c) 3sqrt(3) (d) -3sqrt(3)

If ^(n+1)C_3=2.^nC_2, then n= (A) 3 (B) 4 (C) 5 (D) 6

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Which one of the following is not equal to ((100)/9)^(-3/2) ? (a)\ (9/...

    Text Solution

    |

  2. When simplified (256)^-(4^((-3//2)\ )) is (a) 8 (b) 1/8 (c...

    Text Solution

    |

  3. 5 n+2 −6 xx 5 n+1/13 xx 5 n − 2 *5 n+1 is equal to

    Text Solution

    |

  4. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

    Text Solution

    |

  5. If (3^(2x-8))/(225)=(5^3)/(5^x) , then x= (a) 2 (b) 3 (c) 5 (d)...

    Text Solution

    |

  6. If (2/3)^x\ \ (3/2)^(2x)=(81)/(16), . then x= (a) 2 (b) 3 (c) 4 ...

    Text Solution

    |

  7. If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5...

    Text Solution

    |

  8. The value of 64^(-1/3)\ (64^(1/3)-64^(2/3)), is (a) 1 (b) 1/3 ...

    Text Solution

    |

  9. If sqrt(5^n)=125 , then 5^(root(n)64 )= (a) 25 (b) 1/(125) ...

    Text Solution

    |

  10. If (16)^(2x+3)=(64)^(x+3), then 4^(2x-2)= (a) 64 (b) 256 (c) 3...

    Text Solution

    |

  11. If a ,\ m ,\ n are positive integers, then {root(m)root (n)a}^(m n) is...

    Text Solution

    |

  12. If 2^(-m)\ xx1/(2^m)=1/4, then 1/(14)\ {(4^m)^(1//2)+\ (1/(5^m))^(-1)}...

    Text Solution

    |

  13. If x=2\ \ and y=4, then (x/y)^(x-y)+\ (y/x)^(y-x)= (a) 4 (b) 8 ...

    Text Solution

    |

  14. The value of m for which [{(1/(7^2))^(-2)}^(1/3)]^(1/4)=7^m , is (a) ...

    Text Solution

    |

  15. If (2^(m+n))/(2^(m-n))=16 and a=2^(1/10) then ((a^(2m+n-p))^2)/((a^(m-...

    Text Solution

    |

  16. The value of {(23+2^2)^(2/3)+\ (140-19)^(1/2)}^2 , is (a) 196 (b) ...

    Text Solution

    |

  17. If\ \ sqrt(2^n)=1024 ,\ \ then 3^(2(n/4-4))= (a)3 (b) 9 (c) 27 ...

    Text Solution

    |

  18. If (3^(5x)\ xx\ 81^2\ xx\ \ 6561)/(3^(2x))=3^7, then x= (a)\ 3 (b...

    Text Solution

    |

  19. State the quotient law of exponents

    Text Solution

    |

  20. The value of "{"8^(-4/3)-:2^(-2)")"^(1/2) is (a) 1/2 (b) 2 (c) 1...

    Text Solution

    |