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HBK #1 AKA. HBKISLIFE
Lv 5
HBK #1 AKA. HBKISLIFE asked in Science & MathematicsMathematics · 1 decade ago

SIMPLIFY! (16x^4)^3/4?

Simplify

(16x^4)^3/4

Please give me a step by step answer!

Thanks!

2 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    (16x^4)^(3/4)

    is the same as (4th root of 16x^4)^3

    since 16 and x^4 are perfect 4th powers, the 4th root of 16x^4 = 2x

    (ASSUMING that x is positive, since -2x is also a valid 4th root)

    so

    (4th root of 16x^4)^3 = (2x)^3 = 8x^3

  • ?
    Lv 7
    1 decade ago

    The 4th root cubed.

    the 4th root of (16x^4) = 2x

    and 2x cubed = 8x^3

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