Respuesta :
The equivalent expression is [tex]3^4, 9^2[/tex] and [tex]81^1[/tex].
The given expression is as follows;
[tex]3^9, 3^4, 9^2, 9^9, 81^1[/tex]
We have to determine
Which expressions are equivalent?
According to the question
To determine the equivalent expression solving their power and determine their values.
1. The value of the [tex]3^9[/tex] is,
[tex]= 3^9\\\\= 3\times 3 \times 3 \times 3\times 3\times 3\times 3\times 3\times 3\\\\= 19683[/tex]
2. The value of the [tex]3^4[/tex] is,
[tex]= 3^4\\\\= 3\times 3 \times 3 \times 3\\\\= 81[/tex]
3. The value of the [tex]9^2[/tex] is,
[tex]= 9^2\\\\= 9\times 9\\\\= 81[/tex]
4. The value of the [tex]9^9[/tex] is,
[tex]= 9^9\\\\= 9\times 9 \times 9\times 9\times 9\times 9\times 9\times 9\times 9\\\\= 387420489[/tex]
5. The value of the [tex]81^1[/tex] is,
[tex]= 81^1\\\\= 81[/tex]
Hence, the equivalent expression is [tex]3^4, 9^2[/tex] and [tex]81^1[/tex].
To know more about Expression click the link given below.
https://brainly.com/question/26079523
