Question

3^2x3^5x3^7 In index form

Answer 1

`3^(14)`

Explanation:

Given the expression:
`3^2* 3^5* 3^7`

To simplify the expression, we apply the addition law of indices.

Given two index terms with the same base,
`a^x$ and a^y`, their product:

`a^x * a^y=a^(x+y)`

Therefore, since we have the number 3 as the same base in all the terms:

`3^2* 3^5* 3^7 =3^(2+5+7)\\\\=3^(14)`