SOLUTION: fourth root (27 y^3)/ fourth root (8 x^7) rationalize the denominator and simplify

Question 536248: fourth root (27 y^3)/ fourth root (8 x^7)
rationalize the denominator and simplify
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!

To rationalize the denominator, multiply by 1 in the form of denominator/denominator. Any number over itself is 1, and 1 times anything is the thing itself.

Anything that's raised to the 4th power can be pulled out of the 4th root.

So it becomes

cancels with to leave on the bottom.

I provide online tutoring ($30/hr) and personal problem solving
($3.50-$5.50 per problem. Contact me (check the profile "website" which is
my email address.

RELATED QUESTIONS
5+∜x/∜x Five plus fourth root of x over fourth root of x. Rationalize the... (answered by josgarithmetic)

Rationalize the denominator and simplify: 5 over X - root... (answered by stanbon)

rationalize the denominator + simplify Square root of 7 over square root of 3 +... (answered by vleith)

3* the fourth root of 36... (answered by Alan3354)

simplify the fourth root of... (answered by jsmallt9)

Rationalize the denominator and simplify: square root 3 / 3 - square root... (answered by funmath,303795)

Rationalize the denominator and simplify: 5 square root 2 / square root... (answered by funmath)

Simplify The fourth root of x^2 z^7 times the third root of x^7... (answered by lwsshak3)

rationalize the denominator. simplify assuming all variables are real numbers. square... (answered by ankor@dixie-net.com)