Rational Exponents and Nth Roots
Step 1: Separate Nth Root
Step 2: Rewrite as Radical
Step 3: Evaluate
Ex: 27 ^2/3= (27 ^ 1/3)^ 2= (3 next to the square root of 27) ^ 2 = 3^2= Final Answer 9.
(1.) 125 to the power of 2/3= (125 to the power of 1/3) to the power of 2= ?
(2.) (-243) to the power of 2/5= (-243 to the power of 1/5) to the power of 2= ?
(3.) (-128) to the power of 5/7= (-128 to the power of 1/7) to the power of 5= ?
(4.) 343 to the power of 4/3= (343 to the power of 1/3) to the power of 1/4= ?