Solve 8a^9b^7/4a^2b

$$\frac { 8 a ^ { 9 } b ^ { 7 } } { 4 a ^ { 2 } b }$$

Evaluate

$$2b^{6}a^{7}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{8^{1}a^{9}b^{7}}{4^{1}a^{2}b^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{8^{1}}{4^{1}}a^{9-2}b^{7-1}$$

Subtract 2 from 9.

$$\frac{8^{1}}{4^{1}}a^{7}b^{7-1}$$

Subtract 1 from 7.

$$\frac{8^{1}}{4^{1}}a^{7}b^{6}$$

Divide 8 by 4.

$$2a^{7}b^{6}$$

Differentiate w.r.t. b

$$12b^{5}a^{7}$$