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Evaluate ((-2)/(7)) ^(-4)xx ((-5)/(7)) ^...

Evaluate `((-2)/(7)) ^(-4)xx ((-5)/(7)) ^(2).`

Text Solution

Verified by Experts

The correct Answer is:
`(1225)/(16)`
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Evaluate: (i) ((2)/(3))^(3) xx ((2)/(3)) ^(2)" "(ii)((4)/(7))^(7)xx ((4)/(7))^(-3)" "(iii) ((3)/(2))^(-3) " "(iv) ((8)/(5))^(-3) xx((8)/(5))^(2)

(-7)^(4)xx(-7)^(2)-(-7)^(-2)

Knowledge Check

  • If ((5)/(7)) ^(4) xx ((5)/(7))^(-3) = (( 5)/(7)) ^(5 x = 2 )

    A
    `(2)/(5)`
    B
    `(3)/(5)`
    C
    `(4)/(5)`
    D
    `(1)/(5)`
  • The value of ((2/5)^(3)xx(1/7)^(3))/((2/5)^(2)xx(1/7)^(4)) is

    A
    `(2)/35`
    B
    `(5)/(14)`
    C
    `14(1)/(2)`
    D
    `2(4)/(5)`
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