The solution to 5/(2^8-1) is 1/51

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5/(2^8-1)

Solution

\frac{5}{2 ^{8} - 1}

\frac{1}{51}

Solution steps

\frac{5}{2 ^{8} - 1}

Solve

2^{8} - 1 : 255

Follow the PEMDAS order of operations

Calculate exponents

2^{8} : 256

2^{8}

2^{8} = 256

= 256

= 256 - 1

Add and subtract (left to right)

256 - 1 : 255

256 - 1

256 - 1 = 255

= 255

= 255

= \frac{5}{255}

Cancel the common factor:

5

= \frac{1}{51}

7 + 2 (- 2)

\frac{( - 15 ) + 65 - ( - 48 )}{95 + ( - 2 ) - 27}

(35 + 956 - 319) \div 16

5 + 3 \times 7

3^{2} - 25 \cdot (2 - 1) + 5