Simplify this expression. Write answer without using negative exponents?

(a^4/5 * c^-1/3)^5

Assume that all variables are positive real numbers

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  • 9 years ago
    Favorite Answer

    (a^4/5 * c^-1/3)^5

    = (a^4) (c^(-5/3)

    = (a^4) / (c^5/3)

    Good luck!

  • 9 years ago

    a^4 * c^-5/3

    = a^4/c^5/3

  • Anonymous
    9 years ago

    Since the symbol inside the brackets is multiplication..you can get the power into the brackets..it will become

    Let y=(a^4*c^-5/3)

    y={(a^4)/(c^5/3)}

    The negative sign in the power means the reciprocal....while the denominator in the power represents the nth root

    Ex:in this question,it is cube root of c^5(It's not required in this particular question but many ppl tend to confuse)

    Hope this helps.................

  • Como
    Lv 7
    9 years ago

    Presentation is incorrect due to lack of brackets.

    SHOULD be shown as :-

    [ a^(4/5) c^(-1/3) ]^5

    a^4 c^(-5/3)

    a^4

    -------

    c^(5/3)

    The a^4/5 as given by you MUST be read as (a^4) / 5 and this of course is NOT what you actually mean .

    You MUST use brackets ie a^(4/5)

    Similarly for c^(-1/3)

    This is VERY IMPORTANT to remember for future work.

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  • 9 years ago

    a^4 / c^5/3 I think ,but use braces to clarify operator precedence

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