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Popular >

simplify (-1)^{5/3}

Solution

simplify

(- 1)^{\frac{5}{3}}

Solution

- 1

Solution steps

(- 1)^{\frac{5}{3}}

Apply exponent rule:

a^{\frac{m}{n}} = (a^{\frac{1}{n}})^{m}

(- 1)^{\frac{5}{3}} = ((- 1)^{\frac{1}{3}})^{5}

= ((- 1)^{\frac{1}{3}})^{5}

if

n

is odd

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

= (- 1)^{5}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 1)^{5} = - 1^{5} = - 1

= - 1

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simplify 5/3-3 simplify

\frac{5}{3} - 3

Frequently Asked Questions (FAQ)

What is (-1)^{5/3} ?
The solution to (-1)^{5/3} is -1