What is 3/2 (4^3-2^2\times 3^2) ?

The solution to 3/2 (4^3-2^2\times 3^2) is 42

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/2 (4^3-2^2\times 3^2)

\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})

42

Solution steps

\frac{3}{2} (4^{3} - 2^{2} \cdot 3^{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(4^{3} - 2^{2} \cdot 3^{2}) : 28

4^{3} - 2^{2} \cdot 3^{2}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 64 - 2^{2} \cdot 3^{2}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 64 - 4 \cdot 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 64 - 4 \cdot 9

Multiply and divide (left to right)

4 \cdot 9 : 36

4 \cdot 9

4 \cdot 9 = 36

= 36

= 64 - 36

Add and subtract (left to right)

64 - 36 : 28

64 - 36

64 - 36 = 28

= 28

= 28

= \frac{3}{2} \cdot 28

Multiply and divide (left to right)

\frac{3}{2} \cdot 28 : 42

\frac{3}{2} \cdot 28

Convert element to fraction:

28 = \frac{28}{1}

= \frac{3}{2} \cdot \frac{28}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 28}{2 \cdot 1}

Cancel

\frac{3 \cdot 28}{2 \cdot 1} : 42

\frac{3 \cdot 28}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 28}{2}

Divide the numbers:

\frac{28}{2} = 14

= 3 \cdot 14

Multiply the numbers:

3 \cdot 14 = 42

= 42

= 42

= 42

5 + 3 - 2

- (0)^{2} + 2 (0)

140 - 5 (17)

\frac{1}{2} (- 8 + (- 12)) + 14

- 2 + 3 \cdot (- 17 - 2) - 29