Question

#2 - simplify radical using the exponent rule. Show work

Answer 1

Answer:

$\frac{1}{5x^{\frac{31}{6} } }$

1 / (5x^(31/6)) if its hard to see

Step-by-step explanation:

$\frac{\sqrt[3]{x} \sqrt{x^5} }{\sqrt{25x^1^6}}$

rewrite top roots:

$\frac{x^{\frac{1}{3} } x^{\frac{5}{2} } }{\sqrt{25x^1^6} }$

simplify denominator:

$\frac{x^{\frac{1}{3} } x^{\frac{5}{2} } }{5x^8}$

least common denominator is 6, give all exponents a denominator of 6:

$\frac{x^{\frac{2}{6} } x^{\frac{15}{6} } }{5x^{\frac{48}{6} } }$

add top exponents:

$\frac{x^{\frac{17}{6} } }{5x^{\frac{48}{6} } }$

subtract top exponent from bottom:

$\frac{1}{5x^{\frac{31}{6} } }$