What is (-3)\times (-2)^2+(-2)^3 ?

The solution to (-3)\times (-2)^2+(-2)^3 is -20

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(-3)\times (-2)^2+(-2)^3

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

- 20

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= (- 3) \cdot 4 + (- 2)^{3}

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

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

= - 8

= (- 3) \cdot 4 - 8

Multiply and divide (left to right)

(- 3) \cdot 4 : - 12

(- 3) \cdot 4

Apply rule

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

(- 3) \cdot 4 = - 3 \cdot 4 = - 12

= - 12

= - 12 - 8

Add and subtract (left to right)

- 12 - 8 : - 20

- 12 - 8

- 12 - 8 = - 20

= - 20

= - 20

1 + 1 \div 2

678 - [(34 + 28) + (73 - 15) - (12 + 43)]

\frac{2 ^{15} + 2 ^{13} + 2 ^{11}}{2 ^{11}}

250 0^{2} - 249 9^{2}

10 - (6 - (- 5 + 4) - 2) + 1

What is (-3)\times (-2)^2+(-2)^3 ?
The solution to (-3)\times (-2)^2+(-2)^3 is -20