What is 1/4*2^4-2*2^2 ?

The solution to 1/4*2^4-2*2^2 is -4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/42^4-22^2

\frac{1}{4} \cdot 2^{4} - 2 \cdot 2^{2}

- 4

Solution steps

\frac{1}{4} \cdot 2^{4} - 2 \cdot 2^{2}

Follow the PEMDAS order of operations

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= \frac{1}{4} \cdot 16 - 2 \cdot 2^{2}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= \frac{1}{4} \cdot 16 - 2 \cdot 4

Multiply and divide (left to right)

\frac{1}{4} \cdot 16 : 4

\frac{1}{4} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= \frac{1}{4} \cdot \frac{16}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 16}{4 \cdot 1}

\frac{1 \cdot 16}{4 \cdot 1} = 4

\frac{1 \cdot 16}{4 \cdot 1}

\frac{1 \cdot 16}{4 \cdot 1} = \frac{16}{4}

\frac{1 \cdot 16}{4 \cdot 1}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{16}{4}

= \frac{16}{4}

Divide the numbers:

\frac{16}{4} = 4

= 4

= 4

= 4 - 2 \cdot 4

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 4 - 8

Add and subtract (left to right)

4 - 8 : - 4

4 - 8

4 - 8 = - 4

= - 4

= - 4

- 36 + 57 - (- 3 \times 2)^{2} + 27

3 \times (- 2) - 2

(13 \times 9 + 4^{2}) - 2

2 \times 3^{4}

(20 - 17)^{3} + (9 + 1)^{2}