What is (8^2-20)/(4(-5)-2(12)) ?

The solution to (8^2-20)/(4(-5)-2(12)) is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(8^2-20)/(4(-5)-2(12))

\frac{8 ^{2} - 20}{4 ( - 5 ) - 2 ( 12 )}

- 1

Solution steps

\frac{8 ^{2} - 20}{4 ( - 5 ) - 2 ( 12 )}

Solve

8^{2} - 20 : 44

Follow the PEMDAS order of operations

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 64 - 20

Add and subtract (left to right)

64 - 20 : 44

64 - 20

64 - 20 = 44

= 44

= 44

Solve

4 (- 5) - 2 (12) : - 44

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 (- 5) : - 20

4 (- 5)

Apply rule

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

4 (- 5) = - 4 \cdot 5 = - 20

= - 20

= - 20 - 2 (12)

Multiply and divide (left to right)

2 (12) : 24

2 (12)

Apply rule:

(a) = a

(12) = 12

= 2 \cdot 12

Multiply the numbers:

2 \cdot 12 = 24

= 24

= - 20 - 24

Add and subtract (left to right)

- 20 - 24 : - 44

- 20 - 24

- 20 - 24 = - 44

= - 44

= - 44

= \frac{44}{- 44}

Simplify

\frac{44}{- 44} : - 1

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{44}{44}

Apply rule

\frac{a}{a} = 1

= - 1

= - 1

6^{2} + 3

2 \cdot (2 - 3) - 3

300 - 3 (5 - 2) + (6 + 1) (9 - 3) + 4 (8 + 1)

34 \div 2 + 3 \times 12 - 4

- (+ 4 - 6) + (+ 12 + 1) - 5 - (+ 4 - 19 - 13)