The solution to -3(-3)^3-2 is 79

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-3(-3)^3-2

Solution

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

79

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

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

= - 27

= - 3 (- 27) - 2

Multiply and divide (left to right)

- 3 (- 27) : 81

- 3 (- 27)

Apply rule

- a \cdot (- b) = a \cdot b

- 3 (- 27) = 3 \cdot 27 = 81

= 81

= 81 - 2

Add and subtract (left to right)

81 - 2 : 79

81 - 2

81 - 2 = 79

= 79

= 79

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

15 - 2^{3} \div 4

\frac{1}{5} (2)^{5}

2 + 5 - 4 \times 5 + 8

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