Solve (2a^2/3b^3)(3^4b^4)

$$( \frac{ 2 { a }^{ 2 } }{ 3 { b }^{ 3 } } )( { 3 }^{ 4 } { b }^{ 4 } )$$

Evaluate

$$54ba^{2}$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{2a^{2}}{3b^{3}}\times 81b^{4}$$

Express \frac{2a^{2}}{3b^{3}}\times 81 as a single fraction.

$$\frac{2a^{2}\times 81}{3b^{3}}b^{4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\times 27a^{2}}{b^{3}}b^{4}$$

Express \frac{2\times 27a^{2}}{b^{3}}b^{4} as a single fraction.

$$\frac{2\times 27a^{2}b^{4}}{b^{3}}$$

Cancel out b^{3} in both numerator and denominator.

$$2\times 27ba^{2}$$

Multiply 2 and 27 to get 54.

$$54ba^{2}$$

Differentiate w.r.t. a

$$108ab$$