Question

Which property tells us to multiply the powers to simplify

Answer 1

Answer: the property that tells to multiply the powers to simplify is called power of a power.


Step-by-step explanation:

This is when you have an expression of the kind:
`( x^(m) )^n`

It is equal to:
`( x^(m.n) )`


`( x^(m) )^n = x^(m.n)`

Some examples will help you to understand and remember better:


`( x^(2) )^5= x^(2.5) =x^(10)`


`(10^(3) )^4=10^(3.4)=10^(12)=1,000,000,000,000`


`(4^(3) )^2=4{3.2}=4^(6)=4,096`

Remember a power raised to the power is a property named power of a power and tells that you keep the base and multiply the powers.

Answer 2

There are a couple of operations you can do on powers

We can multiply powers with the same base

x4⋅x2=(x⋅x⋅x⋅x)⋅(x⋅x)=x6

xa⋅xb=xa+b

This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.