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Popular >

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

Solution

simplify

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

Solution

- 3^{\frac{1}{2}}

+1

Decimal Notation

- 1.73205 \dots

Solution steps

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

Apply exponent rule:

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

if

n

is odd

(- 33)^{\frac{1}{3}} = - (33)^{\frac{1}{3}}

= - (33)^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(33)^{\frac{1}{3}} = 3^{\frac{1}{3}} (3)^{\frac{1}{3}}

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

3^{\frac{1}{3}} (3)^{\frac{1}{3}} = 3^{\frac{1}{2}}

= - 3^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is (-3sqrt(3))^{1/3} ?
The solution to (-3sqrt(3))^{1/3} is -3^{1/2}