(p^1/5p^7/10p^1/2)/((p^8))^(-1/5)= square (Simplify your answer. Type exponential notation with positiv

To simplify the expression \(\frac {p^{1/5}p^{7/10}p^{1/2}}{(p^{8})^{-1/5}}\), we need to follow these steps:1. Combine the exponents in the numerator.2. Simplify the denominator.3. Divide the numerator by the denominator.Let's start with the numerator: When multiplying terms with the same base, we add the exponents: Convert all fractions to have a common denominator (which is 10 in this case): So, Thus, the numerator simplifies to: Now, let's simplify the denominator: Using the power rule \((a^m)^n = a^{mn}\): Now we have: When dividing terms with the same base, we subtract the exponents: Therefore, the simplified expression is: