Solve -8a^{6}b^3diva^6b^4*3/4ab^2=

$$- 8 a ^ { 6 } b ^ { 3 } \div a ^ { 6 } b ^ { 4 } \times \frac { 3 } { 4 } a b ^ { 2 } =$$

Evaluate

$$-6ab^{9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$\frac{-8a^{6}b^{3}}{a^{6}}b^{6}\times \frac{3}{4}a$$

Cancel out a^{6} in both numerator and denominator.

$$-8b^{3}b^{6}\times \frac{3}{4}a$$

To multiply powers of the same base, add their exponents. Add 3 and 6 to get 9.

$$-8b^{9}\times \frac{3}{4}a$$

Multiply -8 and \frac{3}{4} to get -6.

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

Differentiate w.r.t. b

$$-54ab^{8}$$