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Find the value of [[a/b]^(sqrt(99)-sqrt(...

Find the value of `[[a/b]^(sqrt(99)-sqrt(97))]^(sqrt(99)+sqrt(97))`

A

`b^(2)/a^(2)`

B

`sqrt(b/a)`

C

`sqrt(b/a)`

D

`a^(2)/b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Apply laws of exponents.
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Knowledge Check

  • Find the value of [[(a)/(b)]^(sqrt99- sqrt97)]^(sqrt99+sqrt97)

    A
    `(b^(2))/(a^(2))`
    B
    `sqrt((b)/(a))`
    C
    `sqrt((b)/(a))`
    D
    `(a^(2))/(b^(2))`

  • (sqrt(2498)xxsqrt(625))/(sqrt(99))=?

    A
    110
    B
    90
    C
    200
    D
    125

  • Find the value of sqrt(sqrt(sqrt(0.00000256)))

    A
    0.4
    B
    0.02
    C
    0.04
    D
    0.2

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