What is 2^9+2^8+2^7+2^6 ?

The solution to 2^9+2^8+2^7+2^6 is 960

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2^9+2^8+2^7+2^6

2^{9} + 2^{8} + 2^{7} + 2^{6}

960

Solution steps

2^{9} + 2^{8} + 2^{7} + 2^{6}

Follow the PEMDAS order of operations

Calculate exponents

2^{9} : 512

= 512 + 2^{8} + 2^{7} + 2^{6}

Calculate exponents

2^{8} : 256

= 512 + 256 + 2^{7} + 2^{6}

Calculate exponents

2^{7} : 128

= 512 + 256 + 128 + 2^{6}

Calculate exponents

2^{6} : 64

= 512 + 256 + 128 + 64

Add and subtract (left to right)

512 + 256 + 128 + 64 : 960

= 960

6 + (- 18 \div (- 3) \times (- 2))

72 \div (- 18) \times 4 - (3 - 12) \div (- 9)

\frac{2}{3} - (\frac{1}{2} + \frac{3}{4})

4^{2} - 5 \times 3 + 12 \div 2 + 1

3 (- 3)^{2} + 12 (- 3) - 5