Question

Please help me with this problem.

Answer 1

Answer:

$x^{\frac{8}{3}}y^{-\frac{5}{6}$

Step-by-step explanation:

Remember the rule for converting radicals and exponents into fractions.  The power is the numerator of the fraction, and the nth root is the denominator of the fraction.  Also, remember that dividing by an exponent means the exponent will be negative.

$\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}$