Home
Class 7
MATHS
Which among 4^(-2),3^(-2),2^(-2) and 5^(...

Which among `4^(-2),3^(-2),2^(-2)` and `5^(-2)` is the greatest?

A

`4^(-2)`

B

`3^(-2)`

C

`2^(-2)`

D

`5^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`4^(-2),3^(-2),5^(-2)`
`rArr (1)/(4^2),(1)/(3^2),(1)/(2^2),(1)/(5^2)`
`rArr (1)/(16),(1)/(9),(1)/(4),(1)/(25)`
Since , the numerators of the given fractions are same, the fraction which has the least denominator has the greatest value.
`therefore (1)/(4)` is the greatest among the given fractions.
Hence, the correct option is (c).
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Level -3|20 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment test Test -1|11 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application Level-1|22 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Test-2|12 Videos

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TESTS (Test - 1) |23 Videos

Similar Questions

Explore conceptually related problems

Among the numbers 2^(250),3^(200),4^(150) and 5^(100) , the greatest is

The smallest among 5^(20),4^(30),3^(40) and 2^(50) is

If 'a'(a>0) is the value of parameter for each of which the area of the figure bounded by the straight line y=(a^(2)-ax)/(1+a^(4)) and the parabola y=(x^(2)+2ax+3a^(2))/(1+a^(4)) is the greatest,then the value of a^(4) is _(-)

From among 2^((1)/(2))3^((1)/(3)),8^((1)/(8))9^((1)/(9)) the greatest is

(i) If a + b + c = 5 , (a, b, c gt 0) , find the greatest value of a^(3) b^(2) c^(4) . (ii) Find the greatest value of (5 - x)^(2) (x -2)^(2) , given 2 lt x lt 5 .

Which is the greatest among 2^(156), 4^(79), 128^(23) and 8^(54)

PEARSON IIT JEE FOUNDATION-INDICES -Level -2
  1. Find the value of (-(2)/(3))^2/(-(2)/(3))^3+((-(4)/(9)))/((2)/(3))^2

    Text Solution

    |

  2. If (4)^(a+5) (16) ^(2a)(32)^(4)=(16)^(3a)then a =

    Text Solution

    |

  3. If 2^(n)=4096 , then 2^(n-5) is

    Text Solution

    |

  4. If 2^(3y-x)=16 and 2^(2y+x)=2048, then the value of y is

    Text Solution

    |

  5. If x^yxxy^x=72 , then find the sum of x and y where x and y are positi...

    Text Solution

    |

  6. ((a^x)/(a^y))^(z)xx((a^y)/(a^z))^(x)xx((a^z)/(a^x))^(y)=(a ne 0 and a...

    Text Solution

    |

  7. Which is the greatest among (5)^23, (25)^(11), (625)^6, and (3125)^5?

    Text Solution

    |

  8. (0.01024)^((1)/(5))=

    Text Solution

    |

  9. ((a)/(b))^(x+y+z)div[(sqrt(a/b))^(-x)xx(sqrta/b)^(-y)xx(sqrt(a/b))^(-z...

    Text Solution

    |

  10. If (1)/(512)^(2x+2)=2^18, then find the value of x.

    Text Solution

    |

  11. If (2x)^5=100000 then find the value of x.

    Text Solution

    |

  12. If (x+y)^3=1331 and (x-y)^5=243, then find x^2-y^2.

    Text Solution

    |

  13. If 3^(2x-16)=4^(3x-24), then x=

    Text Solution

    |

  14. If xyz=0 , then find the value of (a^x)^(zy)+(a^y)^(zx)+(a^z)^(xy).

    Text Solution

    |

  15. Varun secured x marks in Maths and Rahul secured x^2 marks in Maths. T...

    Text Solution

    |

  16. What should be multiplied to 2^6 so that the products is 1 ?

    Text Solution

    |

  17. If 2^(7x-5)=(32)^(x-7), then find the value of (1)/(2^x)

    Text Solution

    |

  18. If x=sqrt(100), then find the value of (x^3+x^2)/(x)

    Text Solution

    |

  19. Which among 4^(-2),3^(-2),2^(-2) and 5^(-2) is the greatest?

    Text Solution

    |

  20. A teacher wanted to distribute 2025 chocolates equally among x number ...

    Text Solution

    |