Home
Class 9
MATHS
If (2^(m+n))/(2^(m-n))=16 and a=2^(1/10)...

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

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 .^(m+n) P_(2)=56 and .^(m-n)P_(3)=24 , then (.^(m)P_(3))/(.^(n)P_(2)) equals

The value of (m+n)^2+(m-n)^2 is:

If (m + n)/(m + 3n) = (2)/(3) , find : (2n^(2))/(3m^(2) + mn) .

If .^(m+n)P_(2)=90 and .^(m-n)P_(2)=30 , find the value of m and .

Given that lim_(n to oo)sum_(r=1)^(n)(log(n^(2)+r^(2))-2logn)/(n)=log2+(pi)/(2)-2 , then lim_(n to oo) (1)/(n^(2m))[(n^(2)+1^(2))^(m)(n^(2)+r^(2))^(m)......(n^(2))^(m)]^(1//n) is equal to

("lim")_(xvec 0)((2^m+x)^(1/m)-(2^n+x)^(1/n))/xi se q u a lto 1/(m2^m)-1/(n2^n) (b) 1/(m2^m)+1/(n2^n) 1/(m2^(-m))-1/(n2^(-n)) (d) 1/(m2^(-m))+1/(n2^(-n))

Evaluate : (2^(n)xx6^(m+1)xx10^(m-n)xx15^(m+n-2))/(4^(m)xx3^(2m+n)xx25^(m-1))

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

If S_n denotes the sum of first n terms of an A.P. such that (S_m)/(S_n)=(m^2)/(n^2),\ t h e n(a_m)/(a_n)= a. (2m+1)/(2n+1) b. (2m-1)/(2n-1) c. (m-1)/(n-1) d. (m+1)/(n+1)

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

    |