Home
Class 7
MATHS
(33^2-31^2)^((5)/(7))=...

`(33^2-31^2)^((5)/(7))=` _____

A

64

B

16

C

32

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`(33^2-31^2)^(5//7)`
` =[(33+31)(33-31)]^(5//7)`
`=[64xx2]^(5//7)`
`=(2^7)^(5//7) =2^5=32`
Hence, the correct options is (c) .
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Level -2|22 Videos

  • INDICES

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

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type quesitons|15 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

^5C_(1)+^(5)C_(2)+^(5)C_(3)+^(5)C_(4)+^(5)C_(5) is equal to 30 b.31c.32d.33

6i^(50) + 5i^(33) - 2i^(15) + 6i^(48) = 7i .

Divide the sum of (-13)/(5) and (12)/(7) by the product of (-31)/(7) and (-1)/(2)

Divide the sum of (13)/(5) and (-12)/(7) by the product of (-31)/(7) and (1)/(-2) .

Harmonic conjugate of the point (5,13) with respect to (2,-5) and (3,1) is (1,(13)/(5))(b)((13)/(5),1)((13)/(5),(7)/(5)) (d) (-(7)/(5),(13)/(5))