Solve 2+4|7+2^2|/4*2+5*3

$$\frac { 2 + 4 | 7 + 2 ^ { 2 } | } { 4 \cdot 2 + 5 \cdot 3 }$$

Evaluate

$$2$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{2+4|7+4|}{4\times 2+5\times 3}$$

Add 7 and 4 to get 11.

$$\frac{2+4|11|}{4\times 2+5\times 3}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 11 is 11.

$$\frac{2+4\times 11}{4\times 2+5\times 3}$$

Multiply 4 and 11 to get 44.

$$\frac{2+44}{4\times 2+5\times 3}$$

Add 2 and 44 to get 46.

$$\frac{46}{4\times 2+5\times 3}$$

Multiply 4 and 2 to get 8. Multiply 5 and 3 to get 15.

$$\frac{46}{8+15}$$

Add 8 and 15 to get 23.

$$\frac{46}{23}$$

Divide 46 by 23 to get 2.

$$2$$

Factor

$$2$$