Express each of the following in exponents form: (i) 729/1331 (ii) -27/ 2744​

Question

Express each of the following in exponents form: (i) 729/1331 (ii) -27/ 2744​

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Lydia 5 months 2021-07-08T01:52:53+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-08T01:53:59+00:00

    Answer: (i)(9/11)³   (ii) (-3/14)³

    Solution:

    (i) On doing Prime Factorization of 729, we get:

    729 = 3×3×3 ×3×3×3

           = (3×3)³

           = 9³

    On doing Prime Factorization of 1331, we get:

    1331 = 11×11×11

           = 11³

    ∴(i) = 729/1331

         = 9³/11³

         = (9/11)³

    (ii) On doing Prime Factorization of 27, we get:

    27 = 3×3×3

        = 3³

    On doing Prime Factorization of 2744, we get:

    2744 = 2×2×2× 7×7×7

             = (2×7)³

             = 14³

    ∴(ii) = -27/2744

          = -3³/14³

          = (-3/14)³

    Hope you understood.

    Thank You.

    0
    2021-07-08T01:54:23+00:00

    Answer:

    1) 729/1331 = 3⁶ / 11³

    2) -27 / 2744 = -3³ / 2³×7³

    I hope it helps

    Mark ne as brainlliest

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