Solve 1-2/3(2(5)-2^2)

$$1- \frac{ 2 }{ 3 } (2(5)- { 2 }^{ 2 } )$$

Evaluate

$$-3$$

Solution Steps

Multiply 2 and 5 to get 10.

$$1-\frac{2}{3}\left(10-2^{2}\right)$$

Calculate 2 to the power of 2 and get 4.

$$1-\frac{2}{3}\left(10-4\right)$$

Subtract 4 from 10 to get 6.

$$1-\frac{2}{3}\times 6$$

Express \frac{2}{3}\times 6 as a single fraction.

$$1-\frac{2\times 6}{3}$$

Multiply 2 and 6 to get 12.

$$1-\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$1-4$$

Subtract 4 from 1 to get -3.

$$-3$$

Factor

$$-3$$