Solve 16a^8b*4ab^7/32a^7b^6

$$\frac{ 16 { a }^{ 8 } b \times 4a { b }^{ 7 } }{ 32 { a }^{ 7 } { b }^{ 6 } }$$

Evaluate

$$2\left(ab\right)^{2}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 1 and 7 to get 8.

$$\frac{16a^{9}b^{8}\times 4}{32a^{7}b^{6}}$$

Cancel out 2\times 16b^{6}a^{7} in both numerator and denominator.

$$2a^{2}b^{2}$$

Differentiate w.r.t. b

$$4ba^{2}$$