Solve -8a^2b*(-ab^2)*2b^2

$$- 8 a ^ { 2 } b \cdot ( - a b ^ { 2 } ) \cdot 2 b ^ { 2 }$$

Evaluate

$$16a^{3}b^{5}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$-8a^{2}b^{5}\left(-a\right)\times 2$$

Multiply -8 and 2 to get -16.

$$-16a^{2}b^{5}\left(-a\right)$$

Multiply -16 and -1 to get 16.

$$16a^{2}b^{5}a$$

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

$$16a^{3}b^{5}$$

Differentiate w.r.t. a

$$48a^{2}b^{5}$$