Question

Rewrite the following expressions: 27 1/2×27 1/4.(1 point)Responses27−−√44th root of 27271827 raised to the 1 eighth power27−−√3cube root of 272734

Answer 1

27^(1/2) × 27^(1/4) = 27^(1/2+1/4) = 27^(3/4).

As a radical: (fourth root of 27)^3.

Since 27 = 3^3, this simplifies to 3^(9/4) = 3^2·3^(1/4) = 9·(fourth root of 3).