Evaluate this exponential expression 27/8^ 4/3 A. 9/2 B. 4/3 C. 81/16

Answer:81/16Step-by-step explanation:This expression  27/8^ 4/3 is best written as   27( ------ )^(4/3)     8Noting that both 27 and 8 are perfect cubes, we rewrite this expression as   27[ ( ------ )^(1/3) ] ^4     8Note how 27^(1/3) = ∛27 = 3 and 8^(1/3) = ∛8 = 2, so we obtain:      3[ ( ------ ) ] ^4       2This can be left as is, or rewritten as      3^4              81[ ( -------- ) ]  =  --------       2^4             16