What is (2^9-1)/(2^{10)} ?

The solution to (2^9-1)/(2^{10)} is 511/1024

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(2^9-1)/(2^{10)}

\frac{2 ^{9} - 1}{2 ^{10}}

\frac{511}{1024}

Solution steps

\frac{2 ^{9} - 1}{2 ^{10}}

Solve

2^{9} - 1 : 511

Follow the PEMDAS order of operations

Calculate exponents

2^{9} : 512

2^{9}

2^{9} = 512

= 512

= 512 - 1

Add and subtract (left to right)

512 - 1 : 511

512 - 1

512 - 1 = 511

= 511

= 511

Solve

2^{10} : 1024

2^{10} = 1024

= 1024

= \frac{511}{1024}

4 + [\frac{3}{2} + \frac{4}{8}] - 6

3 (2)^{3} - 9 (2)^{2} + 7 (2) - 3

(- 7) \times (- 6) \times (- 8) + (- 4)

2 (5)^{2} + 8 (5) + 10

10 - 5 + 8 - 2 - 5 \times 3 + 9