Home
Class 12
MATHS
The expression \(root(3)root(6){a^{9}))...

The expression ` \(root(3)root(6){a^{9}))^4 `` \(root(6)root(3){a^{9}))^4` is simplified to

A

(a) `a^(16)`

B

(b) `a^(12)`

C

(c) `a^(8)`

D

(d) `a^(4)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

(root3(x)*root6(x))/(root4(x^3)*root9(x^6))

(root(4)(64))/(root(4)(4))

int (dx)/(root3(x)+root4(x))

log_(3)root(9)(3)=

sqrt4 , root4(8) , root3(5)

Compare : root(4) 8 and root(6)22

root4(root3(2^(2))) equal to

Evaluate (root(3)3^root(3)3)^root(3)(3^2)

sqrt(x^(-2)y^(3)) root(4)(root(3)(x^(2)))

int\ (root(3)x)(root(5)(1+root(3)(x^4)))dx

RESONANCE ENGLISH-DPP-QUESTION
  1. (4)/(9^((1)/(3))-3^((1)/(3))+1) is equivalent to :

    Text Solution

    |

  2. Let a, b gt 0 satisfies a^(3)+b^(3)=a-b. Then

    Text Solution

    |

  3. The expression \(root(3)root(6){a^{9}))^4 \(root(6)root(3){a^{9}))^4...

    Text Solution

    |

  4. If alpha and beta are the roots of equation x^(2)-4x+13=0, then quadra...

    Text Solution

    |

  5. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  6. If P(x)=ax^(2)+bx+c and Q(x)=-ax^(2)+dx+c where ac!=0 then P(x)Q(x)=0 ...

    Text Solution

    |

  7. If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roo...

    Text Solution

    |

  8. If ""(alpha)and (beta) are the roots of equation x^(2)-3x+1=0and a(n)=...

    Text Solution

    |

  9. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

    Text Solution

    |

  10. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  11. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  12. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  13. If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has...

    Text Solution

    |

  14. Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression...

    Text Solution

    |

  15. If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(...

    Text Solution

    |

  16. Consider the equation log(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log(1//5...

    Text Solution

    |

  17. lf sum of maximum and minimum value of y = log2(x^4+x^2+1) - log2 (x^4...

    Text Solution

    |

  18. Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x...

    Text Solution

    |

  19. If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval ...

    Text Solution

    |

  20. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |