Question

Which expressions are equivalent
to 1/81 ? check all that apply.
picture provided

Answer 1

`{8}^( - 1) = (1)/(8)`

8-¹ ❌

`{9}^( - 2) = \frac{1}{ {9}^(2) } = (1)/(81)`

9-² ✔️

`\frac{ {9}^(8) }{ {9}^(4) } = {9}^(8 - 4) = {9}^(8)`

9^8/9^4 ❌

`\frac{9 {}^(8) }{ {9}^(10) } = {9}^(8 - 10) = {9}^( - 2) = \frac{1}{9 {}^(2) } = (1)/(81)`

9^8/9^10 ✔️

`{9}^( - 6) * {9}^(3) = {9}^( - 6 + 3) = {9}^( - 3) = \frac{1}{9 {}^(3) } = (1)/(729)`

9^-6 . 9³ ❌

`{9}^(5) . \: { 9}^( - 7) = {9}^(5 - 7) = 9 {}^( - 2) = \frac{1}{ {9}^(2) } = (1)/(81)`

9^5 . 9^-7 ✔️