Simplify #1024^(-4/5)#?

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Answer 1 · 2017-06-20T13:11:42

#1024^(-4/5)=1/256#

#1024^(-4/5)#

= #(2xx2xx2xx2xx2xx2xx2xx2xx2xx2)^(-4/5)#

= #(2^10)^(-4/5)#

= #2^((10xx(-4/5))#

= #2^(-8)#

= #1/2^8#

= #1/256#