What is ((-1)^2-1)^3 ?

The solution to ((-1)^2-1)^3 is 0

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((-1)^2-1)^3

((- 1)^{2} - 1)^{3}

0

Solution steps

((- 1)^{2} - 1)^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

((- 1)^{2} - 1) : 0

(- 1)^{2} - 1

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= 1 - 1

Add and subtract (left to right)

1 - 1 : 0

1 - 1

1 - 1 = 0

= 0

= 0

= 0^{3}

Calculate exponents

0^{3} : 0

0^{3}

0^{3} = 0

= 0

= 0

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