Question

Write each expression in a simpler form that is equivalent to the given expression. Let g be a nonzero number. 1/g^1 or 1/g-1

Answer 1

`(1)/(g^1)`

=
`(1)/(g)`

`(1)/(g - 1)`

=
`(g^1)/(1)`

=
`(g)/(1)`

= g

Hope this helps!

Answer 2

`\boxed{\mathrm{view \: explanation}}`

Explanation:

Apply rule :
`a^1 =a`

`\displaystyle (1)/(g^1 ) =(1)/(g)`

`\displaystyle (1)/(g^(-1))`

Apply rule :
`\displaystyle a^(-b)=(1)/(a^b)`

`\displaystyle (1)/((1)/(g^1 ) )`

Apply rule :
`\displaystyle (1)/((1)/(a) ) =a`

`\displaystyle (1)/((1)/(g^1 ) )=g`