What is (8^2-2^3)/(2^2) ?

The solution to (8^2-2^3)/(2^2) is 14

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(8^2-2^3)/(2^2)

\frac{8 ^{2} - 2 ^{3}}{2 ^{2}}

14

Solution steps

\frac{8 ^{2} - 2 ^{3}}{2 ^{2}}

Solve

8^{2} - 2^{3} : 56

Follow the PEMDAS order of operations

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 64 - 2^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 64 - 8

Add and subtract (left to right)

64 - 8 : 56

64 - 8

64 - 8 = 56

= 56

= 56

Solve

2^{2} : 4

2^{2} = 4

= 4

= \frac{56}{4}

Divide the numbers:

\frac{56}{4} = 14

= 14

4 \times 2^{3}

- 4^{3} \times (- 4^{2})

5 (- 1)^{4}

5 (- 1)^{3}

3 \times 3^{3}