In earlier chapters we introduced powers.
There are a couple of operations you can do on powers and we
will introduce them now.
We can multiply powers with the same base
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.
We can raise a power to a power
This is called the power of a power property and says that to
find a power of a power you just have to multiply the
When you raise a product to a power you raise each factor with a
This is called the power of a product property
As well as we could multiply powers we can divide powers.
This is an example of the quotient of powers property and tells
us that when you divide powers with the same base you just have to
subtract the exponents.
When you raise a quotient to a power you raise both the
numerator and the denominator to the power.
This is called the power of a quotient power
When you raise a number to a zero power you'll always get 1.
Negative exponents are the reciprocals of the positive
The same properties of exponents apply for both positive and
In earlier chapters we talked about the square root as well. The
square root of a number x is the same as x raised to the
Video lesson: Simplify the following expression
using the properties of exponents