Home
Class 14
MATHS
Number of prime factors in (216)^(3/5)xx...

Number of prime factors in `(216)^(3/5)xx(2500)^(2/5)xx(300)^(1/5)` is

Promotional Banner

Topper's Solved these Questions

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos
  • TABULATION

    RS AGGARWAL|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

Number of prime factor of (216)^(3//5)xx(2500)^(2//5)xx(300)^(1//5) is

The number of prime factors in ((1)/(6))^(12)xx(8)^(25)xx((3)/(4))^(15) is

No of prime factors in 25^(16)xx5^(17)xx12^(18)

Find the total number of prime factors in 2^(17) xx 6^(31) xx 7^(5) xx 10^(11) xx 11^(10) xx (323)^(23) .

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. Given that 10^0.48=x ,\ 10^(0.70)=y\ and\ x^z=y^2, then the value of z...

    Text Solution

    |

  2. If m and n are whole numbers such that m^n=121 , then the value of (m-...

    Text Solution

    |

  3. Number of prime factors in (216)^(3/5)xx(2500)^(2/5)xx(300)^(1/5) is

    Text Solution

    |

  4. Number of prime factors is (6^(12)xx(35)^(28)xx(15)^(16))/((14)^(12)xx...

    Text Solution

    |

  5. 1+(3+1)(3^2+1)(3^4+1)(3^8+1)(3^(16)+1)(3^(32)+1) is equal to (3^(64)-1...

    Text Solution

    |

  6. 1/(1+a^(n-m))+1/(1+a^(m-n))=? a. 0 b. 1/2 c. 1 d. a^(m+n)

    Text Solution

    |

  7. If a+b+c=0, then the value of (x^a)^(a^2-b c)*(x^b)^(b^2-ca)*(x^c)^(c^...

    Text Solution

    |

  8. If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...

    Text Solution

    |

  9. (x^a/x^b)^(a+b-c)*(x^b/x^c)^(b+c-a)*(x^c/x^a)^(c+a-b)=? a. 1 b. x^(abc...

    Text Solution

    |

  10. (x^a/x^b)^(a+b)*(x^b/x^c)^(b+c)*(x^c/x^a)^(c+a)=? a. 0 b. x^(abc) c. x...

    Text Solution

    |

  11. (x^a/x^b)^(1//ab)*(x^b/x^c)^(1//bc)*(x^c/x^a)^(1//ca)=? a. 1 b. x^(1//...

    Text Solution

    |

  12. The expression ((x+1/y)^a*(x-1/y)^b)/((y+1/x)^a*(y-1/x)^b) reduces to ...

    Text Solution

    |

  13. If a^x=b^y=c^z \ and\ b^2=a c ,\ then\ y equals a. (xz)/(x+z) b. (x z)...

    Text Solution

    |

  14. If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

    Text Solution

    |

  15. I f2^x=4^y=8^zand(1/(2x)+1/(4y)+1/(6z))=24/7,t h e nz=?7/48 b)48/7c)44...

    Text Solution

    |

  16. Suppose 4^a=5,\ 5^b=6,\ 6^c=7,\ 7^d=8, then the value of a b c d is a...

    Text Solution

    |

  17. If a b c=1, then (1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1)))=? a. 0...

    Text Solution

    |

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

    Text Solution

    |

  19. If 3^(x-y)=27, and 3^(x+y) = 243, then x is equal to a. 0 b. 2 c. 4 d....

    Text Solution

    |

  20. If x^y=y^x, then (x/y)^(x//y) is equal to a. x^(y//x) b. x^(x/y-1) c. ...

    Text Solution

    |