What is -1^6-(-1)+2(-1-1)^3 ?

The solution to -1^6-(-1)+2(-1-1)^3 is -16

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-1^6-(-1)+2(-1-1)^3

- 1^{6} - (- 1) + 2 (- 1 - 1)^{3}

- 16

Solution steps

- 1^{6} - (- 1) + 2 (- 1 - 1)^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 1 - 1) : - 2

- 1 - 1

- 1 - 1 = - 2

= - 2

= - 1^{6} - (- 1) + 2 (- 2)^{3}

Calculate exponents

1^{6} : 1

1^{6}

1^{6} = 1

= 1

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

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= - 1 - (- 1) + 2 (- 8)

Multiply and divide (left to right)

2 (- 8) : - 16

2 (- 8)

Apply rule

a \cdot (- b) = - a \cdot b

2 (- 8) = - 2 \cdot 8 = - 16

= - 16

= - 1 - (- 1) - 16

Add and subtract (left to right)

- 1 - (- 1) - 16 : - 16

- 1 - (- 1) - 16

Apply rule

- (- a) = + a

- (- 1) = + 1

= - 1 + 1 - 16

- 1 + 1 = 0

= 0 - 16

0 - 16 = - 16

= - 16

= - 16

20 + (7)^{2}

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

27 + 19 - 32 \div 8 + 35 \div 7 \times 1

5 + 2 - (- 3) - 2 + (- 6)

(0 + 1)^{6} 0