What is 1/256 \div 2^8 ?

The solution to 1/256 \div 2^8 is 1/65536

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1/256 \div 2^8

\frac{1}{256} \div 2^{8}

\frac{1}{65536}

Solution steps

\frac{1}{256} \div 2^{8}

Follow the PEMDAS order of operations

Calculate exponents

2^{8} : 256

2^{8}

2^{8} = 256

= 256

= \frac{1}{256} \div 256

Multiply and divide (left to right)

\frac{1}{256} \div 256 : \frac{1}{65536}

\frac{1}{256} \div 256

Convert element to fraction:

256 = \frac{256}{1}

= \frac{1}{256} \div \frac{256}{1}

Apply the fraction rule:

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

= \frac{1}{256} \cdot \frac{1}{256}

Multiply fractions:

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

= \frac{1 \cdot 1}{256 \cdot 256}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{256 \cdot 256}

Multiply the numbers:

256 \cdot 256 = 65536

= \frac{1}{65536}

= \frac{1}{65536}

2 - 4 (1)

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

- 12 + 85 - 35 + 20

(- 6 - 8 - 7) (- 4 - 9 + 15) (- 11 + 6)

[9 + 7 (19 - 4)] \div 3