Solve 5(2)-6/2(2)^2+4(2)-5

$$\frac { 5 ( 2 ) - 6 } { 2 ( 2 ) ^ { 2 } + 4 ( 2 ) - 5 }$$

Evaluate

$$\frac{4}{11}\approx 0.363636364$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{5\times 2-6}{2^{3}+4\times 2-5}$$

Multiply 5 and 2 to get 10.

$$\frac{10-6}{2^{3}+4\times 2-5}$$

Subtract 6 from 10 to get 4.

$$\frac{4}{2^{3}+4\times 2-5}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{4}{8+4\times 2-5}$$

Multiply 4 and 2 to get 8.

$$\frac{4}{8+8-5}$$

Add 8 and 8 to get 16.

$$\frac{4}{16-5}$$

Subtract 5 from 16 to get 11.

$$\frac{4}{11}$$

Factor

$$\frac{2 ^ {2}}{11} = 0.36363636363636365$$