Posted by Math (URGENT) on Sunday, May 2, 2010 at 5:21pm.
Write the following with rational, positive exponents.
a. sqrt of 8 = 8^1/2
b. seventh root of 5^2 = 5^2/7
c. sqrt sqrt 6 = ???
d. fourth root of sqrt of 5^3 = ???
Can someone please check my work and help with "c and d"? Thanks.

Math (URGENT)  Cody, Sunday, May 2, 2010 at 5:42pm
c. sqrt sqrt 6 = 6^1/4
d. fourth root of sqrt of 5^3 = (5^3)^1/8
Are these correct?
Note: for "d" do I just leave it like that or can I further simplify?
Thank you.

Cody  MathMate, Sunday, May 2, 2010 at 5:44pm
a. and b. are correct
c.
Recall that the (a^b)^c=a^(b*c)
sqrt(sqrt(x))=(x^(1/2))^(1/2)=x^(1/4)
d.
using again (a^b)^c=a^(b*c)
(sqrt(5^3)^(1/4))
=((5^3)^(1/2))^(1/4)
=((5^(3/2))^(1/4)
=5^((3/2)*(1/4))
=5^(3/8)
Answer This Question
Related Questions
 Algebra  SIMPLIFY: ROOT 0F 7 * ROOT OF 14 SIMPLIFY: ROOT OF 1/5 EVALUATE, IF ...
 math calculus please help!  l = lim as x approaches 0 of x/(the square root of...
 Math(Roots)  sqrt(24) *I don't really get this stuff.Can somebody please help ...
 algebra  simplify: square root of 5 + square root of 20  square root of 27 + ...
 math  determine the area of triangle abc when side ab= square root of x, side ...
 Math Help please!!  Could someone show me how to solve these problems step by ...
 Math  How do you find a square root of a number that's not a perfect square? I'...
 algebra 2  Not sure if either one of these answer are correct to simplify the ...
 Inequality  When I solve the inquality 2x^2  6 < 0, I get x < + or  ...
 math,algebra,help  Directions are simplify by combining like terms. x radiacal ...
More Related Questions