Solve 5*[(-6)*(-7):(-3)+2^2]:(-5)^2

$$5 \cdot [ ( - 6 ) \cdot ( - 7 ) : ( - 3 ) + 2 ^ { 2 } ] : ( - 5 ) ^ { 2 }$$

Evaluate

$$-2$$

Solution Steps

Multiply -6 and -7 to get 42.

$$\frac{5\left(\frac{42}{-3}+2^{2}\right)}{\left(-5\right)^{2}}$$

Divide 42 by -3 to get -14.

$$\frac{5\left(-14+2^{2}\right)}{\left(-5\right)^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{5\left(-14+4\right)}{\left(-5\right)^{2}}$$

Add -14 and 4 to get -10.

$$\frac{5\left(-10\right)}{\left(-5\right)^{2}}$$

Multiply 5 and -10 to get -50.

$$\frac{-50}{\left(-5\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$\frac{-50}{25}$$

Divide -50 by 25 to get -2.

$$-2$$

Factor

$$-2$$