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Lamont
Lamont asked in Science & MathematicsMathematics · 5 years ago

How do I raise a negative exponent to another negative exponent?

(x^-1/3)^-3=x. Why?

4 Answers

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  • Pope
    Lv 7
    5 years ago
    Favorite Answer

    Actually, [x^(-1/3)]^(-3) = x, only for x ≠ 0.

    When an expression with an exponent is raised to another exponent, the exponents are multiplied. However, zero cannot be raised to a negative power, and simplification cannot change an undefined expression into a real number.

  • ?
    Lv 7
    5 years ago

    Exponent over exponent, you always multiply the two, and use the result as you new exponent:

    -1/3 X -3 == 3/3 =1 [- x - = +] .. Any quantity to the power of 1 is the same quantity.

    X^1 = X

  • ?
    Lv 7
    5 years ago

    According to the law of exponents (a^n)^m = a^(nm)

    so (x^-1/3)^-3 = x^-1/3*-3 = x^1 = x

  • Iggy Rocko
    Lv 7
    5 years ago

    (x^-1/3)^-3 =

    x^(-1/3 * -3) =

    x^1 =

    x

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