Answer:
[tex]\frac{2x}{y^{-1}}=2xy[/tex]
Step-by-step explanation:
To simplify the expression [tex]\frac{2x}{y^{-1}}[/tex] you must:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}\\\\y^{-1}=\frac{1}{y}\\\\\frac{2x}{y^{-1}}=\frac{2x}{\frac{1}{y}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\\frac{2x}{\frac{1}{y}}=\frac{2xy}{1}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{1}=a\\\\\frac{2xy}{1} = 2xy[/tex]
Therefore,
[tex]\frac{2x}{y^{-1}}=2xy[/tex]
