Question

Find the value of X


Plz help me it’s emergency

Answer 1

x = - 2

Explanation:

Using the rules of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

`(a^(m) )/(a^(n) )` =
`a^((m-n))`

Evaluating the numerator

9³ × 9 =
`9^((3+1))` =
`9^(4)` , thus

`(9^(4) )/(9^(6) )`

=
`9^((4-6))` =
`9^(-2)`

and
`9^(-2)` =
`9^(x)`

Since bases on both sides are 9, then equate exponents

x = - 2