Question

$find \: a \: if ({ \frac{1}{9} )}^{ - 4} \times ( \frac{1}{27} ) ^{ - 6} = ( \frac{1}{9} ) ^{a}$
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Answer 1

Answer:

a=-13

Step-by-step explanation:

${9}^{4} \times {27}^{6} = {3}^{ - 2a } \\ {3}^{26} = {3}^{ - 2a} \\ log_{x}( {3}^{26} ) = log_{x}( {3}^{ - 2a} ) \\ 26 \times log_{x}( 3 ) = - 2a \times log_{x}( 3 ) \\ - 2a = 26 \\ a = - 13$

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