Solve 10/7ab^5c^7*7/5a^2b^5c

$$\frac { 10 } { 7 } a b ^ { 5 } c ^ { 7 } \cdot \frac { 7 } { 5 } a ^ { 2 } b ^ { 5 } c$$

Evaluate

$$2a^{3}c^{8}b^{10}$$

Solution Steps

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

$$\frac{10}{7}a^{3}b^{5}c^{7}\times \frac{7}{5}b^{5}c$$

To multiply powers of the same base, add their exponents. Add 5 and 5 to get 10.

$$\frac{10}{7}a^{3}b^{10}c^{7}\times \frac{7}{5}c$$

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

$$\frac{10}{7}a^{3}b^{10}c^{8}\times \frac{7}{5}$$

Multiply \frac{10}{7} and \frac{7}{5} to get 2.

$$2a^{3}b^{10}c^{8}$$

Differentiate w.r.t. a

$$6a^{2}c^{8}b^{10}$$