Solve 8h^6s^3*3hs^5

$$8 h ^ { 6 } s ^ { 3 } \cdot 3 h s ^ { 5 }$$

Evaluate

$$24h^{7}s^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$8^{1}h^{6}s^{3}\times 3^{1}h^{1}s^{5}$$

Use the Commutative Property of Multiplication.

$$8^{1}\times 3^{1}h^{6}h^{1}s^{3}s^{5}$$

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

$$8^{1}\times 3^{1}h^{6+1}s^{3+5}$$

Add the exponents 6 and 1.

$$8^{1}\times 3^{1}h^{7}s^{3+5}$$

Add the exponents 3 and 5.

$$8^{1}\times 3^{1}h^{7}s^{8}$$

Multiply 8 times 3.

$$24h^{7}s^{8}$$

Differentiate w.r.t. h

$$168h^{6}s^{8}$$