What is (-1)^{11}+2^3+(-4)^3 ?

The solution to (-1)^{11}+2^3+(-4)^3 is -57

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(-1)^{11}+2^3+(-4)^3

(- 1)^{11} + 2^{3} + (- 4)^{3}

- 57

Solution steps

(- 1)^{11} + 2^{3} + (- 4)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{11} : - 1

(- 1)^{11}

Apply exponent rule:

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

n

is odd

(- 1)^{11} = - 1^{11} = - 1

= - 1

= - 1 + 2^{3} + (- 4)^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= - 1 + 8 + (- 4)^{3}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 1 + 8 - 64

Add and subtract (left to right)

- 1 + 8 - 64 : - 57

- 1 + 8 - 64

- 1 + 8 = 7

= 7 - 64

7 - 64 = - 57

= - 57

= - 57

(- 5 + 3)^{2}

8 + 2 (- 4)

(\frac{7}{7} + \frac{2}{7}) - \frac{6}{14}

15 + (- 48) + (- 15)

- (- 7 - (- 4 + 9) - (+ 18) - (+ 4 - 72))