What is 6(-5)^3+10(-5)^2+12(-5)+16 ?

The solution to 6(-5)^3+10(-5)^2+12(-5)+16 is -544

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6(-5)^3+10(-5)^2+12(-5)+16

6 (- 5)^{3} + 10 (- 5)^{2} + 12 (- 5) + 16

- 544

Solution steps

6 (- 5)^{3} + 10 (- 5)^{2} + 12 (- 5) + 16

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

(- 5)^{3} = - 5^{3} = - 125

= - 125

= 6 (- 125) + 10 (- 5)^{2} + 12 (- 5) + 16

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 6 (- 125) + 10 \cdot 25 + 12 (- 5) + 16

Multiply and divide (left to right)

6 (- 125) : - 750

6 (- 125)

Apply rule

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

6 (- 125) = - 6 \cdot 125 = - 750

= - 750

= - 750 + 10 \cdot 25 + 12 (- 5) + 16

Multiply and divide (left to right)

10 \cdot 25 : 250

10 \cdot 25

10 \cdot 25 = 250

= 250

= - 750 + 250 + 12 (- 5) + 16

Multiply and divide (left to right)

12 (- 5) : - 60

12 (- 5)

Apply rule

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

12 (- 5) = - 12 \cdot 5 = - 60

= - 60

= - 750 + 250 - 60 + 16

Add and subtract (left to right)

- 750 + 250 - 60 + 16 : - 544

- 750 + 250 - 60 + 16

- 750 + 250 = - 500

= - 500 - 60 + 16

- 500 - 60 = - 560

= - 560 + 16

- 560 + 16 = - 544

= - 544

= - 544

20 \cdot 12

1 + (- 2 - 5)^{2} + (14 - 17) \cdot 4

\frac{8}{2} \cdot (2 \cdot 2)

2^{2} + 2^{3}

- 2^{3} - 3^{2}

What is 6(-5)^3+10(-5)^2+12(-5)+16 ?
The solution to 6(-5)^3+10(-5)^2+12(-5)+16 is -544