Question

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

Answer 1

Answer:

Thus,

$\frac{1}{y^{-3}}\:=y^3$

Step-by-step explanation:

Given the expression

$\frac{1}{y^{-3}}\:$

simplifying the expression

$\frac{1}{y^{-3}}\:$

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

$=\frac{1}{\frac{1}{y^3}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}$

$=\frac{y^3}{1}$

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

$=y^3$

Thus,

$\frac{1}{y^{-3}}\:=y^3$