Question

By what number should 3^-3 be multiplied to obtain 4 ?​

Answer 1

108

Explanation:

By what number should 3^-3 be multiplied to obtain 4 ?​

4 : 3^-3=

108

--------------------

check

3^-3 * 108 = 4

the answer is good

Answer 2

`\large\underline{\sf{Solution-}}`

Let the number be multiplied be 'x'.

Therefore, according to the given conditions:

`\rm\longmapsto {3}^( - 3) * x = 4`

We know that:

`\rm\red⇛ {x}^( - a) = \frac{1}{ {x}^(a) }`

Therefore:

`\rm\longmapsto \frac{1}{ {3}^(3) } * x = 4`

`\rm\longmapsto (x)/(27 ) = 4`

Multiplying both sides by 27, we get:

`\rm\longmapsto27 * (x)/(27 ) = 4 * 27`

`\rm\longmapsto x = 4 * 27`

`\rm\longmapsto x = 108`

So, 108 must be multiplied to get 4.

Verification:

Substitute x = 108, we get:

`\rm = {3}^( - 3) * 108`

`\rm = (1)/(27) * 108`

`\rm = (1)/(27) * 27 * 4`

`\rm =4`