Verified answer

= (x^3)^(1/2) * (x^(1/2))^(1/3)

= x^(3/2) * x^(1/6)

Now just add the exponents:

= x^(3/2 + 1/6)

= x^((9+1)/6)

= x^(10/6)

= x^(5/3)

Rules to remember:

a^x * a^y = a^(x+y)

(a^x)^y = a^(xy)

In simplifying, the theory is to get each and each and each little thing out from decrease than the radical sign which you would be able to. for this reason, 5 ?x² = 5x by using fact the sq. root and the sq. "undo" one yet yet another. 3 ?(2x²y) = 3 * ?x² * ?(2y) not some ingredient might desire to be complete to drag the 2y out from decrease than the radical or to simplify it, yet back the sq. root and the sq. on the x facilitates it to be pulled out, giving an quite final answer of 3x ?(2y) For the radical expressions, i anticipate that the fractions are meant to be enclosed in parentheses so as that undertaking 3 might desire to be cubert (7²) = cubert (40 9) and volume 4 might desire to be 5th-rt (x²) regularly, x^(one million/n) = nth-rt (x) if n is an integer greater ideal than one million and x > 0. If n is two, the two is in actuality approximately constantly left off the radical sign. contained interior the absence of a superscript volume on the radical sign, this volume is conventionally assumed to be 2. this saves writing by using fact sq. roots look a thoughts greater regularly than different varieties of roots.

=x^9square root x^2

=x^9x^1

=x^10