Solve -4a^{4}b^0*3a^-2b^2*ab^-4

$$- 4 a ^ { 4 } b ^ { 0 } \cdot 3 a ^ { - 2 } b ^ { 2 } \cdot a b ^ { - 4 }$$

Evaluate

$$-\frac{12a^{3}}{b^{2}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and -2 to get 2.

$$-4a^{2}b^{0}\times 3b^{2}ab^{-4}$$

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

$$-4a^{3}b^{0}\times 3b^{2}b^{-4}$$

To multiply powers of the same base, add their exponents. Add 0 and 2 to get 2.

$$-4a^{3}b^{2}\times 3b^{-4}$$

To multiply powers of the same base, add their exponents. Add 2 and -4 to get -2.

$$-4a^{3}b^{-2}\times 3$$

Multiply -4 and 3 to get -12.

$$-12a^{3}b^{-2}$$

Differentiate w.r.t. b

$$24\times \left(\frac{a}{b}\right)^{3}$$