Question

find the value of 1/3^-2​

Answer 1

Answer:

${ \frac{1}{3} }^{ - 2}$

${3}^{2} \: = 9$

$identity { \frac{1}{a} }^{ - m} = \: {a}^{m}$

Answer 2

$\green{ \boxed{ \tt{Question}}}$

$\rm{find \: the \: value \: of \: \frac{1}{3} {}^{ - 2} }$

$\color{navy}{ \boxed{ \tt{answer}}}$

$\rm{9}$

$\color{teal} \boxed{ \tt{step \: by \: step \: solution}}$

$= \frac{1}{3} {}^{ - 2}$

$\rm{when \: the \: power \: is \: negative }\\ \rm{ then \: the \: numerator \: \: becomes \: denominator \: } \\ \rm{ and \: denominator \: becomes \: numerator}$

$identity\: is \\ ( \frac{1}{m}) {}^{ - a}=m^a$

$= 3 {}^{2}$

$= 9$

$\color{seagreen}{ \boxed{ \tt{hope \: it \: helps}}}$