Math, asked by shallyslnk400, 2 months ago

find the multiplication inverse of 3-³​

Answers

Answered by melody10
11

Answer:

HI MATE!!!

Step-by-step explanation:

the multiplicative inverse of 3^-3 = 1/3^3= 1/9

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Answered by pulakmath007
3

The multiplicative inverse of  \sf  {3}^{ - 3} is 27

Given :

The number  \sf  {3}^{ - 3}

To find :

The multiplicative inverse

Solution :

Step 1 of 2 :

Define multiplicative inverse of a number

1 is the Multiplicative identity

Let M ( ≠ 0 ) is the multiplicative inverse of N

Then M × N = 1 = N × M

⇒ M = 1/N

So 1/N is multiplicative inverse of N

Step 2 of 2 :

Find multiplicative inverse of  \sf  {3}^{ - 3}

Let N be the multiplicative inverse of  \sf  {3}^{ - 3}

Then we have ,

\displaystyle \sf{N \times  {3}^{ - 3}    = 1}

\displaystyle \sf{ \implies N \times   \frac{1}{ {3}^{3} }     = 1}

\displaystyle \sf{ \implies N \times   \frac{1}{ 27}     = 1}

\displaystyle \sf{ \implies N  = 27}

The multiplicative inverse of  \sf  {3}^{ - 3} is 27

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