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