Solve 2^2-4*(-1/5)*4

$$2 ^ { 2 } - 4 \cdot ( - \frac { 1 } { 5 } ) \cdot 4$$

Evaluate

$$\frac{36}{5}=7.2$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4-4\left(-\frac{1}{5}\right)\times 4$$

Express 4\left(-\frac{1}{5}\right) as a single fraction.

$$4-\frac{4\left(-1\right)}{5}\times 4$$

Multiply 4 and -1 to get -4.

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

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$4-\left(-\frac{4}{5}\times 4\right)$$

Express -\frac{4}{5}\times 4 as a single fraction.

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

Multiply -4 and 4 to get -16.

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

Fraction \frac{-16}{5} can be rewritten as -\frac{16}{5} by extracting the negative sign.

$$4-\left(-\frac{16}{5}\right)$$

The opposite of -\frac{16}{5} is \frac{16}{5}.

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

Convert 4 to fraction \frac{20}{5}.

$$\frac{20}{5}+\frac{16}{5}$$

Since \frac{20}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.

$$\frac{20+16}{5}$$

Add 20 and 16 to get 36.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$