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Popular >

simplify [(-1)^n]^2

Solution

simplify

[(- 1)^{n}]^{2}

Solution

1

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= (- 1)^{n \cdot 2}

Apply exponent rule:

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

if

n

is even

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

= 1^{2 n}

Apply rule

1^{a} = 1

= 1

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Frequently Asked Questions (FAQ)

What is [(-1)^n]^2 ?
The solution to [(-1)^n]^2 is 1