What is (-7)^2-(-2)(-3)^3 ?

The solution to (-7)^2-(-2)(-3)^3 is -5

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(-7)^2-(-2)(-3)^3

(- 7)^{2} - (- 2) (- 3)^{3}

- 5

Solution steps

(- 7)^{2} - (- 2) (- 3)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 7)^{2} : 49

(- 7)^{2}

Apply exponent rule:

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

n

is even

(- 7)^{2} = 7^{2} = 49

= 49

= 49 - (- 2) (- 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

= 49 - (- 2) (- 27)

Multiply and divide (left to right)

(- 2) (- 27) : 54

(- 2) (- 27)

Apply rule

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

(- 2) (- 27) = 2 \cdot 27 = 54

= 54

= 49 - 54

Add and subtract (left to right)

49 - 54 : - 5

49 - 54

49 - 54 = - 5

= - 5

= - 5

- (12 + 3 - 7) (- 8) + (- 5) (4) \div (- 2) (2)

2 (12) - 22

2^{14} - 1

4 + 7 \times [(3 - 1) + 0] \div 7

5 (1) - 2