What is 11+15(-8)-6(-8)^2+4(8-(-8)(8)-7(8)^2) ?

The solution to 11+15(-8)-6(-8)^2+4(8-(-8)(8)-7(8)^2) is -1997

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11+15(-8)-6(-8)^2+4(8-(-8)(8)-7(8)^2)

11 + 15 (- 8) - 6 (- 8)^{2} + 4 (8 - (- 8) (8) - 7 (8)^{2})

- 1997

Solution steps

11 + 15 (- 8) - 6 (- 8)^{2} + 4 (8 - (- 8) (8) - 7 (8)^{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(8 - (- 8) (8) - 7 (8)^{2}) : - 376

8 - (- 8) (8) - 7 (8)^{2}

Calculate exponents

(8)^{2} : 64

(8)^{2}

(8)^{2} = 64

= 64

= 8 - (- 8) (8) - 7 \cdot 64

Multiply and divide (left to right)

(- 8) (8) : - 64

(- 8) (8)

Apply rule

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

(- 8) (8) = - 8 \cdot 8 = - 64

= - 64

= 8 - (- 64) - 7 \cdot 64

Multiply and divide (left to right)

7 \cdot 64 : 448

7 \cdot 64

7 \cdot 64 = 448

= 448

= 8 - (- 64) - 448

Add and subtract (left to right)

8 - (- 64) - 448 : - 376

8 - (- 64) - 448

Apply rule

- (- a) = + a

- (- 64) = + 64

= 8 + 64 - 448

8 + 64 = 72

= 72 - 448

72 - 448 = - 376

= - 376

= - 376

= 11 + 15 (- 8) - 6 (- 8)^{2} + 4 (- 376)

Calculate exponents

(- 8)^{2} : 64

(- 8)^{2}

Apply exponent rule:

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

n

is even

(- 8)^{2} = 8^{2} = 64

= 64

= 11 + 15 (- 8) - 6 \cdot 64 + 4 (- 376)

Multiply and divide (left to right)

15 (- 8) : - 120

15 (- 8)

Apply rule

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

15 (- 8) = - 15 \cdot 8 = - 120

= - 120

= 11 - 120 - 6 \cdot 64 + 4 (- 376)

Multiply and divide (left to right)

6 \cdot 64 : 384

6 \cdot 64

6 \cdot 64 = 384

= 384

= 11 - 120 - 384 + 4 (- 376)

Multiply and divide (left to right)

4 (- 376) : - 1504

4 (- 376)

Apply rule

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

4 (- 376) = - 4 \cdot 376 = - 1504

= - 1504

= 11 - 120 - 384 - 1504

Add and subtract (left to right)

11 - 120 - 384 - 1504 : - 1997

11 - 120 - 384 - 1504

11 - 120 = - 109

= - 109 - 384 - 1504

- 109 - 384 = - 493

= - 493 - 1504

- 493 - 1504 = - 1997

= - 1997

= - 1997

41/21 \cdot 45/23 \cdot 49/25 \cdot 53/27

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

6 - 5 (12 - 22)

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

- 1 - 3 - 4 - 4 - 2

What is 11+15(-8)-6(-8)^2+4(8-(-8)(8)-7(8)^2) ?
The solution to 11+15(-8)-6(-8)^2+4(8-(-8)(8)-7(8)^2) is -1997