What is 6(-4)^3+10(-4)^2+12(-4)+16 ?

The solution to 6(-4)^3+10(-4)^2+12(-4)+16 is -256

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6(-4)^3+10(-4)^2+12(-4)+16

6 (- 4)^{3} + 10 (- 4)^{2} + 12 (- 4) + 16

- 256

Solution steps

6 (- 4)^{3} + 10 (- 4)^{2} + 12 (- 4) + 16

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= 6 (- 64) + 10 (- 4)^{2} + 12 (- 4) + 16

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= 6 (- 64) + 10 \cdot 16 + 12 (- 4) + 16

Multiply and divide (left to right)

6 (- 64) : - 384

6 (- 64)

Apply rule

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

6 (- 64) = - 6 \cdot 64 = - 384

= - 384

= - 384 + 10 \cdot 16 + 12 (- 4) + 16

Multiply and divide (left to right)

10 \cdot 16 : 160

10 \cdot 16

10 \cdot 16 = 160

= 160

= - 384 + 160 + 12 (- 4) + 16

Multiply and divide (left to right)

12 (- 4) : - 48

12 (- 4)

Apply rule

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

12 (- 4) = - 12 \cdot 4 = - 48

= - 48

= - 384 + 160 - 48 + 16

Add and subtract (left to right)

- 384 + 160 - 48 + 16 : - 256

- 384 + 160 - 48 + 16

- 384 + 160 = - 224

= - 224 - 48 + 16

- 224 - 48 = - 272

= - 272 + 16

- 272 + 16 = - 256

= - 256

= - 256

\frac{2.5}{5}

2 (8)^{2}

7 + 10 \cdot 5 + 10

30 - 5 \cdot 4 + 2

- 4 (5 - 2)^{2}

What is 6(-4)^3+10(-4)^2+12(-4)+16 ?
The solution to 6(-4)^3+10(-4)^2+12(-4)+16 is -256