Answer:
Thus,
[tex]\frac{1}{y^{-3}}\:=y^3[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{1}{y^{-3}}\:[/tex]
simplifying the expression
[tex]\frac{1}{y^{-3}}\:[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{\frac{1}{y^3}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
[tex]=\frac{y^3}{1}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{1}=a[/tex]
[tex]=y^3[/tex]
Thus,
[tex]\frac{1}{y^{-3}}\:=y^3[/tex]
