Question

Use rational exponents to write x^(1/6)*y^(1/4)*z^(1/8) as a single radical expression.

Answer 1

take lcm of 6, 4 and 8
that's 24
rewriting the expression as
(x^4)^1/24 (y^6)^1/24(z^3)1/24
we get
(x^4y^6z^3)^(1/24)