What is (2^6-6^2)\div 4 ?

The solution to (2^6-6^2)\div 4 is 7

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(2^6-6^2)\div 4

(2^{6} - 6^{2}) \div 4

7

Solution steps

(2^{6} - 6^{2}) \div 4

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{6} - 6^{2}) : 28

2^{6} - 6^{2}

Calculate exponents

2^{6} : 64

2^{6}

2^{6} = 64

= 64

= 64 - 6^{2}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 64 - 36

Add and subtract (left to right)

64 - 36 : 28

64 - 36

64 - 36 = 28

= 28

= 28

= 28 \div 4

Multiply and divide (left to right)

28 \div 4 : 7

28 \div 4

28 \div 4 = 7

= 7

= 7

(- 5)^{0} + [(2)^{4} + (- 2)^{3}]

3 - 1 - 2

3 - 1 + 3

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

2 + 3^{2} - 4