Question

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

Answer 1

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

Let the number be multiplied be 'x'.

Therefore, according to the given conditions:

$\rm\longmapsto {3}^{ - 3} \times x = 4$

We know that:

$\rm\red⇛ {x}^{ - a} = \dfrac{1}{ {x}^{a} }$

Therefore:

$\rm\longmapsto \dfrac{1}{ {3}^{3} } \times x = 4$

$\rm\longmapsto \dfrac{x}{27 } = 4$

Multiplying both sides by 27, we get:

$\rm\longmapsto27 \times \dfrac{x}{27 } = 4 \times 27$

$\rm\longmapsto x = 4 \times 27$

$\rm\longmapsto x = 108$

So, 108 must be multiplied to get 4.

Verification:

Substitute x = 108, we get:

$\rm = {3}^{ - 3} \times 108$

$\rm = \dfrac{1}{27} \times 108$

$\rm = \dfrac{1}{27} \times 27 \times 4$

$\rm =4$

Answer 2

Answer:

108

Step-by-step explanation:

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

4 : 3^-3=

108

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check

3^-3 * 108 = 4

the answer is good