Solve 60:(-2)^2-60:(-9^2)=

$$60 : ( - 2 ) ^ { 2 } - 60 : ( - 9 ^ { 2 } ) =$$

Evaluate

$$\frac{425}{27}\approx 15.740740741$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$\frac{60}{4}-\frac{60}{-9^{2}}$$

Divide 60 by 4 to get 15.

$$15-\frac{60}{-9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$15-\frac{60}{-81}$$

Reduce the fraction \frac{60}{-81} to lowest terms by extracting and canceling out 3.

$$15-\left(-\frac{20}{27}\right)$$

The opposite of -\frac{20}{27} is \frac{20}{27}.

$$15+\frac{20}{27}$$

Convert 15 to fraction \frac{405}{27}.

$$\frac{405}{27}+\frac{20}{27}$$

Since \frac{405}{27} and \frac{20}{27} have the same denominator, add them by adding their numerators.

$$\frac{405+20}{27}$$

Add 405 and 20 to get 425.

$$\frac{425}{27}$$

Factor

$$\frac{5 ^ {2} \cdot 17}{3 ^ {3}} = 15\frac{20}{27} = 15.74074074074074$$