Question

simplify. assume all variables are positive.\\(\frac{x^{\frac{12}{5}}}{x^{\frac{1}{5}}}\\)\
write your answer in the form \\(a\\) or \\(\frac{a}{b}\\), where \\(a\\) and \\(b\\) are constants or variable expressions that have no variables in common. all exponents in your answer should be positive.

Explanation:

Step1: Apply exponent subtraction rule

When dividing like bases, subtract exponents: $x^{\frac{12}{5} - \frac{1}{5}}$

Step2: Calculate the exponent

$\frac{12}{5} - \frac{1}{5} = \frac{11}{5}$

Answer:

$x^{\frac{11}{5}}$