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

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

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

  1. 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.

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