Solve 3^2*(-3)^2*adiv(-3)div2b

$$3 ^ { 2 } \times ( - 3 ) ^ { 2 } \times a \div ( - 3 ) \div 2 b$$

Evaluate

$$-\frac{27ab}{2}$$

Solution Steps

Express \frac{\frac{3^{2}\left(-3\right)^{2}a}{-3}}{2} as a single fraction.

$$\frac{3^{2}\left(-3\right)^{2}a}{-3\times 2}b$$

Cancel out -3 in both numerator and denominator.

$$\frac{-3\times 3^{2}a}{2}b$$

Calculate 3 to the power of 2 and get 9.

$$\frac{-3\times 9a}{2}b$$

Multiply -3 and 9 to get -27.

$$\frac{-27a}{2}b$$

Express \frac{-27a}{2}b as a single fraction.

$$\frac{-27ab}{2}$$

Differentiate w.r.t. a

$$-\frac{27b}{2}$$