Solve -3^2+10*(9/6)^2

$$- 3 ^ { 2 } + 10 \times ( \frac { 9 } { 6 } ) ^ { 2 }$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-9+10\times \left(\frac{9}{6}\right)^{2}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$-9+10\times \left(\frac{3}{2}\right)^{2}$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$-9+10\times \frac{9}{4}$$

Multiply 10 and \frac{9}{4} to get \frac{45}{2}.

$$-9+\frac{45}{2}$$

Add -9 and \frac{45}{2} to get \frac{27}{2}.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$