Question

the reciprocal of 3-² is​

Answer 1

Answer:

9

Step-by-step explanation:

3-²=1/3²

=1/9

inverse= 9

Answer 2

SOLUTION

TO DETERMINE

$\displaystyle \sf{ The \: reciprocal \: of \: \: {3}^{ - 2} }$

EVALUATION

We know that a number m is said to be reciprocal of n if m × n = 1

More precisely

$\displaystyle \sf{ The \: reciprocal \: of \: n \: is \: \: \frac{1}{n} }$

$\displaystyle \sf{Here \: the \: given \: number \: is \: \: {3}^{ - 2} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: {3}^{ - 2} }$

So by the given condition

$\displaystyle \sf{ n \times {3}^{ - 2} = 1 }$

$\displaystyle \sf{ \implies \: n = \frac{1}{ {3}^{ - 2} } }$

$\displaystyle \sf{ \implies \: n = {3}^{2} }$

$\displaystyle \sf{ \implies \: n = 9}$

FINAL ANSWER

$\displaystyle \sf{ The \: reciprocal \: of \: \: {3}^{ - 2} } \: \: is \: \: 9$

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