Question

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

Answer 1

`\frac{1}{5x^{(31)/(6) } }`

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

Explanation:

`\frac{\sqrt[3]{x} √(x^5) }{√(25x^1^6)}`

rewrite top roots:

`\frac{x^{(1)/(3) } x^{(5)/(2) } }{√(25x^1^6) }`

simplify denominator:

`\frac{x^{(1)/(3) } x^{(5)/(2) } }{5x^8}`

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

`\frac{x^{(2)/(6) } x^{(15)/(6) } }{5x^{(48)/(6) } }`

add top exponents:

`\frac{x^{(17)/(6) } }{5x^{(48)/(6) } }`

subtract top exponent from bottom:

`\frac{1}{5x^{(31)/(6) } }`