Simplify. [{(-1/4)^2}^-2]^-1
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Hi ,
[ { ( - 1/4 )² }^-2 ] ^-1
********************
We know that ,
1 ) a^-n = 1/ a^n
2 ) ( x/y ) -m = ( y / x )^m
*******************
= [ { 1/16 }^-2 }^-1
= [ ( 16/1 )² ]^-1
= [ 256 ]^-1
= 1/256
I hope this helps you.
: )
[ { ( - 1/4 )² }^-2 ] ^-1
********************
We know that ,
1 ) a^-n = 1/ a^n
2 ) ( x/y ) -m = ( y / x )^m
*******************
= [ { 1/16 }^-2 }^-1
= [ ( 16/1 )² ]^-1
= [ 256 ]^-1
= 1/256
I hope this helps you.
: )
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