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Step-by-step explanation:
Given that,
( 0.000729 )^(-3/4) × ( 0.09 )^(-3/4) ("^" this symbol means to the power of )
= ( 729 / 1000000 )^(-3/4) × ( 9 / 100 )^(-3/4)
= [ (3 / 10 )^6 ]^(-3/4) × [ ( 3 / 10 )^2 ] ^(-3/4)
= [ ( 3 / 10 ) ]^(- 9 / 2 ) × [ ( 3 / 10 ] ^ ( - 3 / 2 )
= Bases are equal then powers should be add
= ( 3 / 10 )^ [ (- 9 / 2 - 3 / 2)]
= ( 3 / 10 )^ ( - 9 - 3 / 2 )
= ( 3 / 10 )^ ( -6 / 2)
= ( 3 /10 )^ (-3)
= 1 / ( 3 / 10 )^ 3 ( ∵a^m = 1 / a ^m )
= ( 10 / 3 )^3
= ( 10 )^3 / ( 3 )^3
( A ) is the answer.
=
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