Solve (12a^2b^2)*(3/4a^5b^4)

$$( 12 a ^ { 2 } b ^ { 2 } ) \cdot ( \frac { 3 } { 4 } a ^ { 5 } b ^ { 4 } )$$

Evaluate

$$9b^{6}a^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$12^{1}a^{2}b^{2}\times \left(\frac{3}{4}\right)^{1}a^{5}b^{4}$$

Use the Commutative Property of Multiplication.

$$12^{1}\times \left(\frac{3}{4}\right)^{1}a^{2}a^{5}b^{2}b^{4}$$

To multiply powers of the same base, add their exponents.

$$12^{1}\times \left(\frac{3}{4}\right)^{1}a^{2+5}b^{2+4}$$

Add the exponents 2 and 5.

$$12^{1}\times \left(\frac{3}{4}\right)^{1}a^{7}b^{2+4}$$

Add the exponents 2 and 4.

$$12^{1}\times \left(\frac{3}{4}\right)^{1}a^{7}b^{6}$$

Multiply 12 times \frac{3}{4}.

$$9a^{7}b^{6}$$

Differentiate w.r.t. a

$$63\left(ab\right)^{6}$$