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How do I raise a negative exponent to another negative exponent?
(x^-1/3)^-3=x. Why?
4 個解答
相關度
- PopeLv 75 年前最愛解答
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 75 年前
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
- IndikosLv 75 年前
According to the law of exponents (a^n)^m = a^(nm)
so (x^-1/3)^-3 = x^-1/3*-3 = x^1 = x
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