Solve 7ab*8a^3b^2

$$7 a b \times 8 a ^ { 3 } b ^ { 2 }$$

Evaluate

$$56b^{3}a^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$7^{1}a^{1}b^{1}\times 8^{1}a^{3}b^{2}$$

Use the Commutative Property of Multiplication.

$$7^{1}\times 8^{1}a^{1}a^{3}b^{1}b^{2}$$

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

$$7^{1}\times 8^{1}a^{1+3}b^{1+2}$$

Add the exponents 1 and 3.

$$7^{1}\times 8^{1}a^{4}b^{1+2}$$

Add the exponents 1 and 2.

$$7^{1}\times 8^{1}a^{4}b^{3}$$

Multiply 7 times 8.

$$56a^{4}b^{3}$$

Differentiate w.r.t. a

$$224\left(ab\right)^{3}$$