Simplify the expression using only positive exponents.
Check the final answer first, then review the worked steps.
Problem
Simplify the expression using only positive exponents.
Step-by-step solution
Simplify the coefficients by dividing 9 by 27 to get 1/3. Subtract the exponents of x (8-1=7) and y (7-3=4). Combine these to get the simplified expression.
Answer
\frac{x^{8}}{3y^{3}} \cdot \frac{y^{7}}{3x} = \frac{x^{8}y^{7}}{27xy^{3}} = \frac{1}{3}x^{8-1}y^{7-3} = \frac{1}{3}x^{7}y^{4}