Simplify the expression. Write the result using positive exponents only. Assume that all bases are not equal to 0 . \( \frac{x^{3} x^{7}}{x^{8}} \) \( \frac{x^{3} x^{7}}{x^{8}}=\square \)

To simplify the expression \( \frac{x^{3} x^{7}}{x^{8}} \), first, we can combine the exponents in the numerator. Using the property of exponents that states \( a^m \cdot a^n = a^{m+n} \), we have: \( x^{3} x^{7} = x^{3+7} = x^{10} \) Now substituting that back into the expression gives us: \( \frac{x^{10}}{x^{8}} \) Next, using the property of exponents \( \frac{a^m}{a^n} = a^{m-n} \), we simplify this to: \( x^{10-8} = x^{2} \) Thus, the simplified expression is: \( \frac{x^{3} x^{7}}{x^{8}} = x^{2} \)