Solve a^6*b^2/a^2*b^-1

$$\frac { a ^ { 6 } \times b ^ { 2 } } { a ^ { 2 } \times b ^ { - 1 } }$$

Evaluate

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

Solution Steps

Cancel out a^{2} in both numerator and denominator.

$$\frac{b^{2}a^{4}}{\frac{1}{b}}$$

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

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

Differentiate w.r.t. b

$$3b^{2}a^{4}$$