What is (2^{15}+2^{13}+2^{11})/(2^{11)} ?

The solution to (2^{15}+2^{13}+2^{11})/(2^{11)} is 21

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(2^{15}+2^{13}+2^{11})/(2^{11)}

\frac{2 ^{15} + 2 ^{13} + 2 ^{11}}{2 ^{11}}

21

Solution steps

\frac{2 ^{15} + 2 ^{13} + 2 ^{11}}{2 ^{11}}

Solve

2^{15} + 2^{13} + 2^{11} : 43008

Follow the PEMDAS order of operations

Calculate exponents

2^{15} : 32768

2^{15}

2^{15} = 32768

= 32768

= 32768 + 2^{13} + 2^{11}

Calculate exponents

2^{13} : 8192

2^{13}

2^{13} = 8192

= 8192

= 32768 + 8192 + 2^{11}

Calculate exponents

2^{11} : 2048

2^{11}

2^{11} = 2048

= 2048

= 32768 + 8192 + 2048

Add and subtract (left to right)

32768 + 8192 + 2048 : 43008

32768 + 8192 + 2048

32768 + 8192 = 40960

= 40960 + 2048

40960 + 2048 = 43008

= 43008

= 43008

Solve

2^{11} : 2048

2^{11} = 2048

= 2048

= \frac{43008}{2048}

Divide the numbers:

\frac{43008}{2048} = 21

= 21

What is (2^{15}+2^{13}+2^{11})/(2^{11)} ?
The solution to (2^{15}+2^{13}+2^{11})/(2^{11)} is 21