Question

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

Answer 1

${8}^{ - 1} = \frac{1}{8}$

8-¹ ❌

${9}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81}$

9-² ✔️

$\frac{ {9}^{8} }{ {9}^{4} } = {9}^{8 - 4} = {9}^{8}$

9^8/9^4 ❌

$\frac{9 {}^{8} }{ {9}^{10} } = {9}^{8 - 10} = {9}^{ - 2} = \frac{1}{9 {}^{2} } = \frac{1}{81}$

9^8/9^10 ✔️

${9}^{ - 6} \times {9}^{3} = {9}^{ - 6 + 3} = {9}^{ - 3} = \frac{1}{9 {}^{3} } = \frac{1}{729}$

9^-6 . 9³ ❌

${9}^{5} . \: { 9}^{ - 7} = {9}^{5 - 7} = 9 {}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81}$

9^5 . 9^-7 ✔️