Solve 12a^7b^4/15a^10b^3

$$\frac { 12 a ^ { 7 } b ^ { 4 } } { 15 a ^ { 10 } b ^ { 3 } }$$

Evaluate

$$\frac{4b}{5a^{3}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{12^{1}a^{7}b^{4}}{15^{1}a^{10}b^{3}}$$

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

$$\frac{12^{1}}{15^{1}}a^{7-10}b^{4-3}$$

Subtract 10 from 7.

$$\frac{12^{1}}{15^{1}}a^{-3}b^{4-3}$$

Subtract 3 from 4.

$$\frac{12^{1}}{15^{1}}\times \frac{1}{a^{3}}b^{1}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}\times \frac{1}{a^{3}}b$$

Differentiate w.r.t. b

$$\frac{4}{5a^{3}}$$