What is 5(2)^2(-1)-8(2)(-1)^2-9(-1)^3 ?

The solution to 5(2)^2(-1)-8(2)(-1)^2-9(-1)^3 is -27

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5(2)^2(-1)-8(2)(-1)^2-9(-1)^3

5 (2)^{2} (- 1) - 8 (2) (- 1)^{2} - 9 (- 1)^{3}

- 27

Solution steps

5 (2)^{2} (- 1) - 8 (2) (- 1)^{2} - 9 (- 1)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= 5 \cdot 4 (- 1) - 8 (2) (- 1)^{2} - 9 (- 1)^{3}

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 5 \cdot 4 (- 1) - 8 (2) \cdot 1 - 9 (- 1)^{3}

Calculate exponents

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

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

n

is odd

(- 1)^{3} = - 1^{3} = - 1

= - 1

= 5 \cdot 4 (- 1) - 8 (2) \cdot 1 - 9 (- 1)

Multiply and divide (left to right)

5 \cdot 4 (- 1) : - 20

5 \cdot 4 (- 1)

5 \cdot 4 = 20

= 20 (- 1)

Apply rule

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

20 (- 1) = - 20 \cdot 1 = - 20

= - 20

= - 20 - 8 (2) \cdot 1 - 9 (- 1)

Multiply and divide (left to right)

8 (2) \cdot 1 : 16

8 (2) \cdot 1

8 (2) = 16

8 (2)

Apply rule:

(a) = a

(2) = 2

= 8 \cdot 2

Multiply the numbers:

8 \cdot 2 = 16

= 16

= 16 \cdot 1

16 \cdot 1 = 16

= 16

= - 20 - 16 - 9 (- 1)

Multiply and divide (left to right)

9 (- 1) : - 9

9 (- 1)

Apply rule

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

9 (- 1) = - 9 \cdot 1 = - 9

= - 9

= - 20 - 16 - (- 9)

Add and subtract (left to right)

- 20 - 16 - (- 9) : - 27

- 20 - 16 - (- 9)

- 20 - 16 = - 36

= - 36 - (- 9)

Apply rule

- (- a) = + a

- (- 9) = + 9

= - 36 + 9

- 36 + 9 = - 27

= - 27

= - 27

4 + 2 - 2

24 \div 2 - 10 \times 2

3 (- 3)^{2} + 1

2^{2} - 4 + 10

- 4 (3)^{2} - 3 - 1

What is 5(2)^2(-1)-8(2)(-1)^2-9(-1)^3 ?
The solution to 5(2)^2(-1)-8(2)(-1)^2-9(-1)^3 is -27