Question

Which property is demonstrated?

(m2)3 = m6

Answer 1

In the case of
`(m^(2) )^(3)= m^(6)`, the power is raised to another power and these are multiplied together to simplify the term. This property is called the power of a power property.

The power of a power property just tells us that when the power is raised to another power, we can simply multiply these powers together. Let's take for example the given.
`(m^(2) )^(3)= m^(6)`, when expounded, is just equal to:

`(m*m)*(m*m)*(m*m)=m^(6)`.

Same will hold true for all powers raised to another power.