Home
Class 8
MATHS
If p^(q')=512 find the minimum possible ...

If `p^(q')=512` find the minimum possible value of `(p) (q) (r)`, where `p, q, r` are positive integers.

A

18

B

12

C

24

D

512

Text Solution

Verified by Experts

The correct Answer is:
B
`p^(q^(r))=2^(9^(1))=2^(3^(2))=8^(3^(1))=512^(1^(l))`
Minimum possible value of `(p)(q) (r)=2xx3xx2=12`.
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION LEVEL 3|7 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Test Your Concepts (Very Short Answer Type Questions)|43 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION LEVEL 1|33 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|60 Videos

  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL - 3)|9 Videos

Similar Questions

Explore conceptually related problems

Suppose that a parabola y=ax^(2)+bx+c where a>0 and (a+b+c) is an integer has vertex ((1)/(4),-(9)/(8)). If the minimum positive value of 'a' can be written as (p)/(q) where p and q are relatively prime positive integers, then find (p+q).

The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , where p ,\ q are positive integers, has a maximum value, for x equal to : (p q)/(p+q) (b) 1 (c) 0 (d) p/(p+q)

The positive integers p,q and r, then possible value of r is 3(b)5(c)7(d)1

If p,q,r be three distinct real numbers, then the value of (p+q)(q+r)(r+p), is

Let p,q r be three statements such that the truth value of (p ^^ q) to (q vv r) is F. Then the truth value of p,q r are respectively :

int (dx)/(x ^(2014)+x)=1/p ln ((x ^(q))/(1+ x ^(r)))+C where p,q r in N then the value of (p+q+r) equals (Where C is constant of integration)

Given 'p' and 'q' as true and 'r' as false, the truth values of ~p ^^ (q vv ~r) and (p to q) ^^ r are respectively

PEARSON IIT JEE FOUNDATION-INDICES-CONCEPT APPLICATION LEVEL 2
  1. Find the value of [[a/b]^(sqrt(99)-sqrt(97))]^(sqrt(99)+sqrt(97))

    Text Solution

    |

  2. If 1/((243)^(x))=(729)^(y)=3^(3), then find the value of 5x+6y.

    Text Solution

    |

  3. ((1/x+y)^((a+b))(1/y-x)^(-(p+q)))/((1/x-y)^(-(p+q))(x+1/y)^((a+b)))=

    Text Solution

    |

  4. If 7^((5x-8))xx5^((x+2))=30625, then find x, an integer.

    Text Solution

    |

  5. If a^x = b^y = a^z and a^3 = b^2 c, then 3/x - 2/y =

    Text Solution

    |

  6. Simplified form of ((p+1/q)^((p-q))(p-1/q)^((p+q)))/((q+1/p)^((p-q))(...

    Text Solution

    |

  7. If X = a^1 b^2 c^3 ... z^26 and Y = z^1 y^2 x^3... a^26 where, abcd...

    Text Solution

    |

  8. If a^(b)=256, then find the maximum possible value of a.b, where a and...

    Text Solution

    |

  9. If 11^x = 3^y = 99^z, then 1/x + 1/y + 1/z

    Text Solution

    |

  10. If a^(b^t) = 6561, then find the least possible value of (a.b.c), wh...

    Text Solution

    |

  11. If (xy)^((a - 1)) = z, (yz)^((b - 1)) = x and (xz)^((c-1)) = y, and ...

    Text Solution

    |

  12. If x^(200) lt 3^(300), then the greatest possible integral value of x.

    Text Solution

    |

  13. If 5^(n-3)=625, then 5^(n+3) is .

    Text Solution

    |

  14. Find the value of (0.00243)^(3/5)+(0.0256)^(3/4).

    Text Solution

    |

  15. [((a^(0)+b^(0))(a^(0)-b^(0)))/(a^(2)-b^(2))]^(0^(+^(5)))" "("where "...

    Text Solution

    |

  16. If (1331)^(-x)=(225)^(y) where x and y are integers, then find the val...

    Text Solution

    |

  17. If (sqrt(3))^(x+y)=9 and (sqrt(2))^(x-y)=32, then 2x+y is .

    Text Solution

    |

  18. If 6^(x-y)=36 and 3^(x+y)=729, then find x^(2)-y^(2).

    Text Solution

    |

  19. If p^(q')=512 find the minimum possible value of (p) (q) (r), where p,...

    Text Solution

    |

  20. If 2^(x+y)=128 and 4^(x-y)=16, then find x/y.

    Text Solution

    |