What is 12+(2^3\div 2/3)-2 ?

The solution to 12+(2^3\div 2/3)-2 is 22

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

12+(2^3\div 2/3)-2

12 + (2^{3} \div \frac{2}{3}) - 2

22

Solution steps

12 + (2^{3} \div \frac{2}{3}) - 2

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{3} \div \frac{2}{3}) : 12

2^{3} \div \frac{2}{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 8 \div \frac{2}{3}

Multiply and divide (left to right)

8 \div \frac{2}{3} : 12

8 \div \frac{2}{3}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{2}{3}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{8}{1} \cdot \frac{3}{2}

Cross-cancel common factor:

2

= \frac{4}{1} \cdot \frac{3}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 3}{1 \cdot 1}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{12}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{12}{1}

Apply rule

\frac{a}{1} = a

= 12

= 12

= 12 + 12 - 2

Add and subtract (left to right)

12 + 12 - 2 : 22

12 + 12 - 2

12 + 12 = 24

= 24 - 2

24 - 2 = 22

= 22

= 22

3 (- 5) - 1

18 - 3^{2} \div 3

3 (- 8) + (- 3) (- 12 + 10)

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

(7 - 2) \cdot 180