Solve 7a^6b^6(-5a^3b^3)

$$7 a ^ { 6 } b ^ { 6 } ( - 5 a ^ { 3 } b ^ { 3 } )$$

Evaluate

$$-35\left(ab\right)^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$7^{1}a^{6}b^{6}\left(-5\right)^{1}a^{3}b^{3}$$

Use the Commutative Property of Multiplication.

$$7^{1}\left(-5\right)^{1}a^{6}a^{3}b^{6}b^{3}$$

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

$$7^{1}\left(-5\right)^{1}a^{6+3}b^{6+3}$$

Add the exponents 6 and 3.

$$7^{1}\left(-5\right)^{1}a^{9}b^{6+3}$$

Add the exponents 6 and 3.

$$7^{1}\left(-5\right)^{1}a^{9}b^{9}$$

Multiply 7 times -5.

$$-35a^{9}b^{9}$$

Differentiate w.r.t. a

$$-315a^{8}b^{9}$$