Question

{(2/3)^2}^3 evaluate

Answer 1

{(2/3)^2}3
{2/3}^6
2^6/3^6
64/729

Answer 2

ACCORDING TO RULE OF INDICES,

( a/b ) ^ x = a^x / b^x

{( a ) ^x } ^y = (a) ^ xy

EVALUATING,

{(2/3) ^2} ^3

= (2/3) ^( 2×3)

= (2/3) ^6
=> 2 ^6 / 3^6

=> 64/729

ANSWER = 64/729

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