Question

What’s the answer to this question below. A b c or d

Answer 1

Choice A is the answer.

Explanation:

We have given a equation.

`(1/9)^(a+1)=81^(a+1).27^(2-a)`

We have to find the value of a.

`(1/3)^(2a+2)=3^(4a+4).3^(6-3a)`

`3^(-2a-2)=3^(4a+4+6-3a)`

`3^(-2a-2) =3^(a+10)`

By equating powers, we have

-2a-2 = a+10

a+2a =-2-10

3a = -12

a = -4 which is the answer.

Answer 2

`a=-4`

Explanation:

The given expression is;

`((1)/(9))^(a+1)=81^(a+1)*27^(2-a)`

`(3)^(-2(a+1))=3^(4(a+1))*3^(3(2-a))`

`3^(-2(a+1))=3^(4(a+1)+3(2-a))}`

Equate the exponent;

`-2(a+1)=4(a+1)+3(2-a)`

`-2a-2=4a+4+6-3a`

`-2-4-6=4a-3a+2a`

`-12=3a`

`a=-4`