Question

Simplify this expression with only positive exponents. ​

Answer 1

`(2x)/(y^(-1))=2xy`

Explanation:

To simplify the expression
`(2x)/(y^(-1))` you must:

`\mathrm{Apply\:exponent\:rule}:\quad \:a^(-1)=(1)/(a)\\\\y^(-1)=(1)/(y)\\\\(2x)/(y^(-1))=(2x)/((1)/(y))`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/((b)/(c))=(a\cdot \:c)/(b)\\\\(2x)/((1)/(y))=(2xy)/(1)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(1)=a\\\\(2xy)/(1) = 2xy`

Therefore,

`(2x)/(y^(-1))=2xy`