Question

Find the value of x (xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx)

Answer 1

x = - 2

Explanation:

using the rules of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

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

given

`(9^(3)(9^(1)) )/(9^(6) )`

=
`(9^((3+1)) )/(9^(6) )`

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

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

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

then equating exponents

x = - 2