Question

See equation.

Answer 1

\[1/9=27^{2x}\]

Answer 2

Get the bases equal.
For example,

\(\Large \color{MidnightBlue}{\Rightarrow {1 \over 9} = {1 \over 3^2} = 3^{-2} }\)
And.
\(\Large \color{MidnightBlue}{\Rightarrow 27^{2x} = (3^3)^{2x} = 3^{6x} }\)

Can you continue now?

Answer 3

-2/6?

Answer 4

@ParthKohli

Answer 5

This one is a bit tougher

Answer 6

Yes, adn there are more tough ones coming up >_<

Answer 7

\(\Large \color{MidnightBlue}{\Rightarrow -2 = 6x }\)
\(\Large \color{MidnightBlue}{\Rightarrow x = {-1 \over 3} }\)

Answer 8

like Parth said \[1/9 = 1/3^{2} = 3^{-2}\]

Answer 9

Do you want to know an interesting property?

Answer 10

\(\Large \color{MidnightBlue}{\Rightarrow a^m = a^n \Longleftrightarrow m = n }\)

Answer 11

i.e, when the bases are equal in any given equation, then you can equate the exponents.

Answer 12

I see, thank you all :)