Question

Help please and thanks :)

Answer 1

Your answer is - 11/3

Explanation:

Hope this helps!

Answer 2

-
`(11)/(3)`

Explanation:

Using the rules of exponents

`(1)/(a^(m) )` ⇔
`a^(-m)`

`(a^(m)) ^(n)` =
`a^(mn)`

Consider the right side

`((1)/(27)) ^(a+3)`

=
`((1)/(3^3)) ^(a+3)`

=
`(3^(-3)) ^(a+3)`

=
`3^((-3a-9))`

Now we have

9 =
`3^((-3a-9))` , that is

3² =
`3^((-3a-9))`

Since the bases on both sides are equal, equate the exponents

- 3a - 9 = 2 ( add 9 to both sides )

- 3a = 11 ( divide both sides by - 3 )

a = -
`(11)/(3)`