Which expression is equivalent to 144^3/2?

Question

Which expression is equivalent to 144^3/2?

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Answers ( No )

    0
    2021-10-11T03:01:02+00:00

    144=12², so 144^3/2=(12²)^(3/2)=12³=1728

    0
    2021-10-11T03:01:04+00:00

    we are given

    (144)^{\frac{3}{2} }

    we can write it as

    144=12 \times 12

    144=12^2

    we can replace it as

    (144)^{\frac{3}{2} }=(12^2)^{\frac{3}{2} }

    (144)^{\frac{3}{2} }=(12)^{2*\frac{3}{2} }

    (144)^{\frac{3}{2} }=(12)^{3 }

    (144)^{\frac{3}{2} }=1728……………Answer

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