Question

If 9 power x multiplied by 3 power 2 multiplied by 3 power -x by 2 multiplied by -2 is equal to 1 divided by 27 then x is equal to ???

Answer 1

Answer:

Hey there here is your answer

Step-by-step explanation:

Answer 2

Answer:

$Value \:of \:x = \frac{-5}{3}$

Step-by-step explanation:

$9^{x}\times 3^{2}\times \left(3^{\frac{-x}{2}}\right)^{-2}=\frac{1}{27}$

$\implies (3^{2})^{x}\times 3^{2}\times 3^{\frac{-x}{2}\times (-2)}= \frac{1}{3^{3}}$

$\implies 3^{2x}\times 3^{2}\times 3^{x}=3^{-3}$

$\implies 3^{2x+2+x}=3^{-3}$

$Since, \boxed {a^{m}\times a^{n}= a^{m+n}}$

$\implies 3^{3x+2}=3^{-3}$

$\implies 3x+2 = -3$

$Since, \boxed {If \: a^{m}=a^{n}\: then \: m = n }$

$\implies 3x = -3-2$

$\implies 3x = -5$

$\implies x = \frac{-5}{3}$

Therefore,

$Value \:of \:x = \frac{-5}{3}$

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