Answer:
Power of a quotient property
Step-by-step explanation:
It is power of a quotient property, when you have different bases, whose quotient(division) is raised to the same power, it is equal to dividing, each base raised to same power.
Here, x and y are different bases and 3 is the common power to both of them.
In general for any power, say m :
[tex](\frac{x}{y} )^{m} = \frac{x^{m} }{y^{m}}[/tex]
Because, [tex](\frac{x}{y} )^{m} = \frac{x}{y} \times \frac{x}{y} \times\frac{x}{y}.... m times[/tex]
And, [tex](\frac{x}{y} )^{3} = \frac{x}{y} \times \frac{x}{y} \times\frac{x}{y}[/tex]
i.e [tex](\frac{x}{y} )^{3} = \frac{x^{3} }{y^{3}}[/tex]
