Solve -3a^8b^2*2ab^6

$$- 3 a ^ { 8 } b ^ { 2 } \cdot 2 a b ^ { 6 }$$

Evaluate

$$-6b^{8}a^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-3\right)^{1}a^{8}b^{2}\times 2^{1}a^{1}b^{6}$$

Use the Commutative Property of Multiplication.

$$\left(-3\right)^{1}\times 2^{1}a^{8}a^{1}b^{2}b^{6}$$

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

$$\left(-3\right)^{1}\times 2^{1}a^{8+1}b^{2+6}$$

Add the exponents 8 and 1.

$$\left(-3\right)^{1}\times 2^{1}a^{9}b^{2+6}$$

Add the exponents 2 and 6.

$$\left(-3\right)^{1}\times 2^{1}a^{9}b^{8}$$

Multiply -3 times 2.

$$-6a^{9}b^{8}$$

Differentiate w.r.t. a

$$-54\left(ab\right)^{8}$$