Question

Simplify this expression with only positive exponents. ​

Answer 1

Answer:

$\frac{2x}{y^{-1}}=2xy$

Step-by-step explanation:

To simplify the expression $\frac{2x}{y^{-1}}$ you must:

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}\\\\y^{-1}=\frac{1}{y}\\\\\frac{2x}{y^{-1}}=\frac{2x}{\frac{1}{y}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\\frac{2x}{\frac{1}{y}}=\frac{2xy}{1}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{1}=a\\\\\frac{2xy}{1} = 2xy$

Therefore,

$\frac{2x}{y^{-1}}=2xy$