Answer:
[tex]\frac{1}{5x^{\frac{31}{6} } }[/tex]
1 / (5x^(31/6)) if its hard to see
Step-by-step explanation:
[tex]\frac{\sqrt[3]{x} \sqrt{x^5} }{\sqrt{25x^1^6}}[/tex]
rewrite top roots:
[tex]\frac{x^{\frac{1}{3} } x^{\frac{5}{2} } }{\sqrt{25x^1^6} }[/tex]
simplify denominator:
[tex]\frac{x^{\frac{1}{3} } x^{\frac{5}{2} } }{5x^8}[/tex]
least common denominator is 6, give all exponents a denominator of 6:
[tex]\frac{x^{\frac{2}{6} } x^{\frac{15}{6} } }{5x^{\frac{48}{6} } }[/tex]
add top exponents:
[tex]\frac{x^{\frac{17}{6} } }{5x^{\frac{48}{6} } }[/tex]
subtract top exponent from bottom:
[tex]\frac{1}{5x^{\frac{31}{6} } }[/tex]
