Question

$$\frac{a^{c2}bc^{3}}{c^{2}b^{3}c^{2}}$$

Answer

$$2*a^c*b^4*c^7$$

Solution


Regroup terms.
\[2{a}^{c}b{b}^{3}{c}^{3}{c}^{2}{c}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2{a}^{c}{b}^{1+3}{c}^{3+2+2}\]
Simplify  \(1+3\)  to  \(4\).
\[2{a}^{c}{b}^{4}{c}^{3+2+2}\]
Simplify  \(3+2\)  to  \(5\).
\[2{a}^{c}{b}^{4}{c}^{5+2}\]
Simplify  \(5+2\)  to  \(7\).
\[2{a}^{c}{b}^{4}{c}^{7}\]