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Popular >

simplify (-1)^{2/5}

Solution

simplify

(- 1)^{\frac{2}{5}}

Solution

1

Solution steps

(- 1)^{\frac{2}{5}}

Apply exponent rule:

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

(- 1)^{\frac{2}{5}} = ((- 1)^{\frac{1}{5}})^{2}

= ((- 1)^{\frac{1}{5}})^{2}

if

n

is odd

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

= (- 1)^{2}

Apply exponent rule:

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

if

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

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Frequently Asked Questions (FAQ)

What is (-1)^{2/5} ?
The solution to (-1)^{2/5} is 1