Question

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Answer 1

Answer:

the aswer is 5

if two bases are same then do addition to the power digits

Step-by-step explanation:

(11/9)3×(11/9)6=(11/9)2x-1

there for(11/9)3+6=(11/9)9

hence (11/9)2(5)-1

=(11/9)9.

Answer 2

$( \frac{11}{9} ) ^{3} \times ( \frac{11}{9} ) ^{6} = ( \frac{11}{9} )^{2x - 1}$

$( \frac{11}{9} ) ^{3 + 6} = ( \frac{11}{9} ) ^{2x - 1}$

$( \frac{11}{9} ) ^{9} = ( \frac{11}{9} ) ^{2x - 1}$

So, we have same base therefore we take power of the bases.

$9 = 2x - 1$

$9 + 1 = 2x$

$10 = 2x$

$\frac{10}{2} = x$

$5 = x$

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