Solve (2a^2/3b^3)((3^4b^4)/1)

$$( \frac { 2 a ^ { 2 } } { 3 b ^ { 3 } } ) ( \frac { ( 3 ^ { 4 } b ^ { 4 } ) } { 1 } )$$

Evaluate

$$54ba^{2}$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{2a^{2}}{3b^{3}}\times \frac{81b^{4}}{1}$$

Anything divided by one gives itself.

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

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

$$108ab$$