Solve 3a^2b*2btext{by}6a^2b^2

$$3 a ^ { 2 } b \times 2 b \text { by } 6 a ^ { 2 } b ^ { 2 }$$

Evaluate

$$36ya^{4}b^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$3a^{4}b\times 2bby\times 6b^{2}$$

Multiply b and b to get b^{2}.

$$3a^{4}b^{2}\times 2by\times 6b^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3a^{4}b^{3}\times 2y\times 6b^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$3a^{4}b^{5}\times 2y\times 6$$

Multiply 3 and 2 to get 6.

$$6a^{4}b^{5}y\times 6$$

Multiply 6 and 6 to get 36.

$$36a^{4}b^{5}y$$

Differentiate w.r.t. y

$$36a^{4}b^{5}$$