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

The solution to -1^3-2^3-(-3)^3 is 18

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

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

18

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

1^{3} : 1

1^{3}

1^{3} = 1

= 1

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

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

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

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= - 1 - 8 - (- 27)

Add and subtract (left to right)

- 1 - 8 - (- 27) : 18

- 1 - 8 - (- 27)

- 1 - 8 = - 9

= - 9 - (- 27)

Apply rule

- (- a) = + a

- (- 27) = + 27

= - 9 + 27

- 9 + 27 = 18

= 18

= 18

[(- 7)^{2} - (- 2)^{6}]^{2}

4 + 3 \times 7

(8 - 10 \div 5) + 4 \times 2

- 4 (1) + 4

- 5 (- 2) + 4 - 8 (2)