Question

(512) to the power -7/9

Answer 1

(512) -7/9 = 2 to the power -7 and the answer is 1/128
Working -
(512) to the power -7/9
2 t. t. p. 9 is 512
so
2t. t. p. 9t. t. p. -7/9
((2)9)-7/9
9 and 9 is cut
left 2 t. t. p. -7
1/2t.t.p.7
ans 1/128

note... t. t. p. is to the power

Answer 2

Heya user
Here is your answer !!

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First of all , you should know that
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 512 .
So , 512 = 2 ^ 9 .

Now ,
acc. to the question ----->
( 512 ) ^ -7/9
= ( 2 ^ 9 ) ^ - 7/9
= 2 ^ -7
= 1 / ( 2 ^ 7 )
= 1 / 128 . [ Answer ] .

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Hope it helps !!