Solve 8a^{4}b^7c^2div2a^4b^2c=

$$8 a ^ { 4 } b ^ { 7 } c ^ { 2 } \div 2 a ^ { 4 } b ^ { 2 } c =$$

Evaluate

$$4c^{3}a^{8}b^{9}$$

Solution Steps

Divide 8a^{4}b^{7}c^{2} by 2 to get 4a^{4}b^{7}c^{2}.

$$4a^{4}b^{7}c^{2}a^{4}b^{2}c$$

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$4a^{8}b^{7}c^{2}b^{2}c$$

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$4a^{8}b^{9}c^{2}c$$

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

$$4a^{8}b^{9}c^{3}$$

Differentiate w.r.t. a

$$32c^{3}a^{7}b^{9}$$