What is (2^{30}-2^{29})/2 ?

The solution to (2^{30}-2^{29})/2 is 268435456

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(2^{30}-2^{29})/2

\frac{2 ^{30} - 2 ^{29}}{2}

268435456

Solution steps

\frac{2 ^{30} - 2 ^{29}}{2}

Solve

2^{30} - 2^{29} : 536870912

Follow the PEMDAS order of operations

Calculate exponents

2^{30} : 1073741824

2^{30}

2^{30} = 1073741824

= 1073741824

= 1073741824 - 2^{29}

Calculate exponents

2^{29} : 536870912

2^{29}

2^{29} = 536870912

= 536870912

= 1073741824 - 536870912

Add and subtract (left to right)

1073741824 - 536870912 : 536870912

1073741824 - 536870912

1073741824 - 536870912 = 536870912

= 536870912

= 536870912

= \frac{536870912}{2}

Divide the numbers:

\frac{536870912}{2} = 268435456

= 268435456

2 - 2 \times (6 - 3 \times 2)

\frac{3}{4} (8) - 2

(6 - \frac{65}{2}) - 2 (\frac{69}{4})

(2^{2} \cdot 3^{3})^{2}

(1 + 1)^{6}