How do you evaluate $64^ { \frac { 2} { 3} }$ ?

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Answer 1 · 2017-03-11T02:27:50

$64^(2/3) = 16$

Notice that: $64 =2^6$

Hence $64^(2/3) = (2^6)^(2/3)$

Using the rule of indices: $(a^m)^n = a^(mxxn)$

$64^(2/3) = 2^(6xx2/3)$

$= 2^(2xx2) = 2^4 = 16$

How do you evaluate 64^ { \frac { 2} { 3} }64^ { \frac { 2} { 3} }?