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

The solution to -3^3-3(-3)^2 is -54

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

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

- 54

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= - 27 - 3 (- 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

= - 27 - 3 \cdot 9

Multiply and divide (left to right)

3 \cdot 9 : 27

3 \cdot 9

3 \cdot 9 = 27

= 27

= - 27 - 27

Add and subtract (left to right)

- 27 - 27 : - 54

- 27 - 27

- 27 - 27 = - 54

= - 54

= - 54

5 + (36 \div 2) \times 3 - 4

(2 \times 5 - 7)^{3}

(5) 7 \times 3 + 12 \div 7 - 5 \times 4

1 1^{2} + 4^{0} - 2^{4}

2 - 5 + 5