Solve 16a^8b4ab^7/32a^7b^6

$$\frac{ 16 { a }^{ 8 } b4a { b }^{ 7 } }{ 32 { a }^{ 7 } { b }^{ 6 } }$$

Evaluate

$$\frac{bb_{4}a^{2}}{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$\frac{16a^{9}b_{4}b^{7}}{32a^{7}b^{6}}$$

Cancel out 16b^{6}a^{7} in both numerator and denominator.

$$\frac{bb_{4}a^{2}}{2}$$

Differentiate w.r.t. b_4

$$\frac{ba^{2}}{2}$$