Solve 9a^4b^7/45ab^2

$$\frac { 9 a ^ { 4 } b ^ { 7 } } { 45 a b ^ { 2 } }$$

Evaluate

$$\frac{a^{3}b^{5}}{5}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{9^{1}a^{4}b^{7}}{45^{1}a^{1}b^{2}}$$

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

$$\frac{9^{1}}{45^{1}}a^{4-1}b^{7-2}$$

Subtract 1 from 4.

$$\frac{9^{1}}{45^{1}}a^{3}b^{7-2}$$

Subtract 2 from 7.

$$\frac{9^{1}}{45^{1}}a^{3}b^{5}$$

Reduce the fraction \frac{9}{45} to lowest terms by extracting and canceling out 9.

$$\frac{1}{5}a^{3}b^{5}$$

Differentiate w.r.t. b

$$a^{3}b^{4}$$