What is 1/(2^{10)-1} ?

The solution to 1/(2^{10)-1} is 1/1023

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1/(2^{10)-1}

\frac{1}{2 ^{10} - 1}

\frac{1}{1023}

Solution steps

\frac{1}{2 ^{10} - 1}

Solve

2^{10} - 1 : 1023

Follow the PEMDAS order of operations

Calculate exponents

2^{10} : 1024

2^{10}

2^{10} = 1024

= 1024

= 1024 - 1

Add and subtract (left to right)

1024 - 1 : 1023

1024 - 1

1024 - 1 = 1023

= 1023

= 1023

= \frac{1}{1023}

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