Home
Class 9
MATHS
Evaluate : (2^(n)xx6^(m+1)xx10^(m-n)xx15...

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

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(3)`
Promotional Banner

Topper's Solved these Questions

  • INDICES [EXPONENTS]

    ICSE|Exercise EXERCISE 7 (B)|29 Videos

  • INDICES (EXPONENTS)

    ICSE|Exercise 4 Marks Questions|9 Videos

  • INEQUALITIES

    ICSE|Exercise EXERCISE 11|42 Videos

Similar Questions

Explore conceptually related problems

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

The value of (2^(m).3^(2m-n).5^(m+n+3).6^(n+1))/(6^(m+1).10^(n+3).15^(m))

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

Show that : ((a^(m))/(a^(-n)))^(m-n)xx((a^(n))/(a^(-1)))^(n-1)xx((a^(l))/(a^(-m)))^(l-m)=1

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

Evaluate sum_(m=1)^(oo)sum_(n=1)^(oo)(m^(2)n)/(3^(m)(n*3^(m)+m*3^(n))) .

Hardness of water is 200 ppm. The normality and molarity of CaCO_3 in the water is (a). 2xx10^(-6)(N,2xx10^(-6)M (b). 4xx10^(-2)N,2xx10^(-2)M (c). 4xx10^(-3)N,2xx10^(-3)M (d). 4xx10^(-1)N,2xx10^(-1)M

Simplify: (i) (10xx5^(n+1)+25xx5^n)/(3xx5^(n+2)+10xx5^(n+1)) (ii) ((16)^7xx(25)^5xx(81)^3)/((15)^7xx(24)^5xx(80)^3)

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_(m-2,n)(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))}

lim_(n to oo){(1^(m)+2^(m)+3^(m)+...+ n^(m))/(n^(m+1))} equals

ICSE-INDICES [EXPONENTS]-EXERCISE 7 (C)
  1. Evaluate : 9^((5)/(2)) - 3xx8^(0)-((1)/(81))^(-(1)/(2))

    Text Solution

    |

  2. Evaluate : (64)^((2)/(3))-root(3)(125)-(1)/(2^(-5))+(27)^(-(2)/(3))...

    Text Solution

    |

  3. Evaluate : [(-(2)/(3))^(-2)]^(3)xx((1)/(3))^(-4)xx3^(-1)xx(1)/(6)

    Text Solution

    |

  4. Simplify : (3xx9^(n+1)-9xx3^(2n))/(3xx3^(2n+3)-9^(n+1))

    Text Solution

    |

  5. Solve : 3^(x-1)xx5^(2y-3)=225.

    Text Solution

    |

  6. If ((a^(-1)b^(2))/(a^(2)b^(-4)))div((a^(3)b^(-5))/(a^(-2)b^(3)))=a^(x)...

    Text Solution

    |

  7. If 3^(x +1) = 9^(x - 3), find the value of 2^(1 + x).

    Text Solution

    |

  8. If 2^(x)=4^(y)=8^(z) and (1)/(2x)+(1)/(4y)+(1)/(8z)=4 find the value o...

    Text Solution

    |

  9. If (9^n\ x\ 3^2\ x\ 3^n-\ 27^n)/(3^(3m)\ x\ 2^3)=1/(27) , prove that m...

    Text Solution

    |

  10. Solve for x : x:(13)^sqrt(x)=4^(4)-3^(4)-6.

    Text Solution

    |

  11. If 3^(4x)=(81)^(-1)and(10)^((1)/(y))=0.0001, value of 2^(-x) xx 16^(y)...

    Text Solution

    |

  12. Solve the equation: 3(2^x+1)-2^(x+2)+5=0

    Text Solution

    |

  13. If (a^(m))^(n)=a^(m).a^(n), find the value of : m(n - 1) - (n - 1)

    Text Solution

    |

  14. If m = root(3)(15) and n = root(3)(14), find the value of m - n - (1)/...

    Text Solution

    |

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

    Text Solution

    |

  16. Evaluate : ((x^(q))/(x^(r )))^((1)/(qr))xx((x^(r ))/(x^(p)))^((1)/(rp)...

    Text Solution

    |

  17. Prove that: (a^(-1))/(a^(-1)+b^(-1))+(a^(-1))/(a^(-1)-b^(-1))=(2b^2)/(...

    Text Solution

    |

  18. Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=a b c

    Text Solution

    |

  19. Evaluate : (4)/((216)^(-2//3))+(1)/((256)^(-3//4))+(2)/((343)^(-1//3)...

    Text Solution

    |