Solve 4ab^2abb^4a(-5)

$$4 a b ^ { 2 } a b b ^ { 4 } a ( - 5 )$$

Evaluate

$$-20a^{3}b^{7}$$

Solution Steps

Multiply a and a to get a^{2}.

$$4a^{2}b^{2}bb^{4}a\left(-5\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$4a^{3}b^{2}bb^{4}\left(-5\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$4a^{3}b^{3}b^{4}\left(-5\right)$$

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$4a^{3}b^{7}\left(-5\right)$$

Multiply 4 and -5 to get -20.

$$-20a^{3}b^{7}$$

Differentiate w.r.t. b

$$-140a^{3}b^{6}$$