What is -3-(12\div 6)^3(5-2(4))^2 ?

The solution to -3-(12\div 6)^3(5-2(4))^2 is -75

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-3-(12\div 6)^3(5-2(4))^2

- 3 - (12 \div 6)^{3} (5 - 2 (4))^{2}

- 75

Solution steps

- 3 - (12 \div 6)^{3} (5 - 2 (4))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(12 \div 6) : 2

12 \div 6

12 \div 6 = 2

= 2

= - 3 - 2^{3} (5 - 2 (4))^{2}

Calculate within parentheses

(5 - 2 (4)) : - 3

5 - 2 (4)

Multiply and divide (left to right)

2 (4) : 8

2 (4)

Apply rule:

(a) = a

(4) = 4

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

= 5 - 8

Add and subtract (left to right)

5 - 8 : - 3

5 - 8

5 - 8 = - 3

= - 3

= - 3

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

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

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

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= - 3 - 8 \cdot 9

Multiply and divide (left to right)

8 \cdot 9 : 72

8 \cdot 9

8 \cdot 9 = 72

= 72

= - 3 - 72

Add and subtract (left to right)

- 3 - 72 : - 75

- 3 - 72

- 3 - 72 = - 75

= - 75

= - 75

(- 1 - 5)^{2}

1 + 1 \div 4

- 4 + [- 3 + (- 5 + 9 - 2)]

18 + (- 35) - (- 26) - (+ 46) + 52 + (- 25)

2 (- 2)^{2} + 5

What is -3-(12\div 6)^3(5-2(4))^2 ?
The solution to -3-(12\div 6)^3(5-2(4))^2 is -75