Question

Solve the expression using the correct order of operations.
0.75x3.2+ (9.1)2-((-2.3)-(-0.9))2

Answer 1

`0.75 * 3.2+ (9.1)^2-((-2.3)-(-0.9))^2 = 83.25`

Explanation:

Given

`0.75 * 3.2+ (9.1)^2-((-2.3)-(-0.9))^2`

Required

Solve

Start with the bracket

`0.75 * 3.2+ (9.1)^2-((-2.3)-(-0.9))^2 = 0.75 * 3.2+ (9.1)^2-(-1.4)^2`

Evaluate all exponents

`0.75 * 3.2+ (9.1)^2-((-2.3)-(-0.9))^2 = 0.75 * 3.2+ 82.81-1.96`

Evaluate all products

`0.75 * 3.2+ (9.1)^2-((-2.3)-(-0.9))^2 = 2.4+ 82.81-1.96`

`0.75 * 3.2+ (9.1)^2-((-2.3)-(-0.9))^2 = 83.25`