Question

Simplify 1/y^-3 and identify the exponential property that you used

Answer 1

Thus,

`(1)/(y^(-3))\:=y^3`

Explanation:

Given the expression

`(1)/(y^(-3))\:`

simplifying the expression

`(1)/(y^(-3))\:`

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

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

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

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

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

`=y^3`

Thus,

`(1)/(y^(-3))\:=y^3`