What is 8-(-8)^2\div 8*8+(-8)^3 ?

The solution to 8-(-8)^2\div 8*8+(-8)^3 is -568

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8-(-8)^2\div 8*8+(-8)^3

8 - (- 8)^{2} \div 8 \cdot 8 + (- 8)^{3}

- 568

Solution steps

8 - (- 8)^{2} \div 8 \cdot 8 + (- 8)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 8)^{2} : 64

(- 8)^{2}

Apply exponent rule:

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

n

is even

(- 8)^{2} = 8^{2} = 64

= 64

= 8 - 64 \div 8 \cdot 8 + (- 8)^{3}

Calculate exponents

(- 8)^{3} : - 512

(- 8)^{3}

Apply exponent rule:

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

n

is odd

(- 8)^{3} = - 8^{3} = - 512

= - 512

= 8 - 64 \div 8 \cdot 8 - 512

Multiply and divide (left to right)

64 \div 8 \cdot 8 : 64

64 \div 8 \cdot 8

64 \div 8 = 8

= 8 \cdot 8

8 \cdot 8 = 64

= 64

= 8 - 64 - 512

Add and subtract (left to right)

8 - 64 - 512 : - 568

8 - 64 - 512

8 - 64 = - 56

= - 56 - 512

- 56 - 512 = - 568

= - 568

= - 568

- 2 - (3 - 1)

2 (4) - 1

(5 - 1)^{2}

2^{12} - 1

2 (0)^{2} - 3

What is 8-(-8)^2\div 8*8+(-8)^3 ?
The solution to 8-(-8)^2\div 8*8+(-8)^3 is -568