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Popular >

simplify (-x^3)^{1/3}

Solution

simplify

(- x^{3})^{\frac{1}{3}}

Solution

- x

Solution steps

(- x^{3})^{\frac{1}{3}}

Apply exponent rule:

(- a)^{\frac{1}{n}} = - (a)^{\frac{1}{n}},

if

n

is odd

(- x^{3})^{\frac{1}{3}} = - (x^{3})^{\frac{1}{3}}

= - (x^{3})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{3})^{\frac{1}{3}} = x^{3 \cdot \frac{1}{3}}

= - x^{3 \cdot \frac{1}{3}}

3 \cdot \frac{1}{3} = 1

= - x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= - x

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Frequently Asked Questions (FAQ)

What is (-x^3)^{1/3} ?
The solution to (-x^3)^{1/3} is -x