Question

Simplify the quotient 3-¹ ÷34

Answer 1

`(1)/(102)`

Explanation:

1) Negative Power Rule:
`x}^(-a)=\frac{1}{{x}^(a)}`.

`(1)/(3)/ 34`

2) Use this rule:
`a/ (b)/(c)=a* (c)/(b)`.

`(1)/(3)* (1)/(34)`

3) Use this rule:
`(a)/(b) * (c)/(d)=(ac)/(bd)`.

`(1* 1)/(3* 34)`

4) Simplify
`1* 1` to
`1`.

`(1)/(3* 34)`

5) Simplify
`3* 34` to
`102` .

`(1)/(102)`