Question

What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

Answer 1

Given:

The expressions are

`-6a^2b^(-1)`

`(5)/(y^(-3))`

To find:

The simplified form of each expression.

Solution:

We have,

`-6a^2b^(-1)`

`=-6a^2((1)/(b))`
`[\because x^(-n)=(1)/(x^n)]`

`=-(6a^2)/(b)`

Therefore, the simplified form of
`-6a^2b^(-1)` is
`-(6a^2)/(b)`.

We have,

`(5)/(y^(-3))`

`=(5)/((1)/(y^3))`
`[\because x^(-n)=(1)/(x^n)]`

`=5* (y^3)/(1)`

`=5y^3`

Therefore, the simplified form of
`(5)/(y^(-3))` is
`5y^3`.