Solve (+13a^3b)(+2a^2b^4)

$$( + 13 a ^ { 3 } b ) ( + 2 a ^ { 2 } b ^ { 4 } )$$

Evaluate

$$26\left(ab\right)^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$13^{1}a^{3}b^{1}\times 2^{1}a^{2}b^{4}$$

Use the Commutative Property of Multiplication.

$$13^{1}\times 2^{1}a^{3}a^{2}b^{1}b^{4}$$

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

$$13^{1}\times 2^{1}a^{3+2}b^{1+4}$$

Add the exponents 3 and 2.

$$13^{1}\times 2^{1}a^{5}b^{1+4}$$

Add the exponents 1 and 4.

$$13^{1}\times 2^{1}a^{5}b^{5}$$

Multiply 13 times 2.

$$26a^{5}b^{5}$$

Differentiate w.r.t. a

$$130a^{4}b^{5}$$