Question

1/3 to the power of -2

Answer 1

9

Explanation:

the reciprocal of 1/3 to 3 will remove the - sign. This this will make it 3² = 9

Answer 2

9

Explanation:

Given expression:

`\left((1)/(3)\right)^(-2)`

`\textsf{Apply exponent rule} \quad a^(-n)=(1)/(a^n):`

`\implies (1)/(\left((1)/(3)\right)^2)`

`\textsf{Apply exponent rule} \quad \left((a)/(b)\right)^c=(a^c)/(b^c):`

`\implies (1)/((1^2)/(3^2))`

`\implies (1)/((1)/(9))`

`\textsf{Apply the fraction rule}\quad (1)/((a)/(b))=(b)/(a):`

`\implies (9)/(1)`

`\implies 9`