Question

If
$({3}^{3}) {}^{2} = {9}^{x}$
then value of x is : ?​

Answer 1

Given:-

$(3^{3}) ^{2}$ = $9^{x}$

To find:-

The value of x

Solution:-

$(3^{3}) ^{2} = 9^{x}$

⇒$(3^{2}.3 )^{2}$ = $9^{x}$                                                                          (∵$x^{m+n} = x^{m}.x^{n}$)

⇒ $(9.3)^{2}$ = $9^{x}$

Opening the brackets,

⇒ $9^{2} .9 = 9^{x}$

⇒ $9^{3} = 9^{x}$                                                                               (∵$x^{m}.x^{n} = x^{m+n}$)

Copying the powers,

⇒ 3 = x

Hence, x = 3

Answer 2

Step-by-step explanation:

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