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4 June, 21:55

Simplify square root of 2 multiplied by the cube root of 2. A 2 to the power of 1 over 6 B 2 to the power of 2 over 3 C2 to the power of 5 over 6 D2 to the power of 7 over 6

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  1. 5 June, 01:42
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    Square-root of two multiplied by the cube-root of 2

    =sqrt (2) * (2) ^ (1/3)

    =2^ (1/2) * 2^ (1/3)

    =2^ (1/2+1/3) multiplication rule of exponents

    =2^ ((3+2) / 6)

    =2^ (5/6)

    = (2^5) ^ (1/6) ... sixth root of 2^5

    = (32) ^ (1/6) ... sixth root of 32.
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