You can
put this solution on YOUR website!Exponent Law # 1:
Let's say you have the expression
. Now, if you want to square this entire expression, you would simply say
To go even further, you can use an exponent law that states:
In other words, when you have 2 exponents (ie one exponent is raised to another exponent), you simply multiply the two exponents and that product will become the new exponent.
Start with the given expression
Use the previous identity
to rewrite the expression. So we're simply going to multiply the exponents 3 and 2
Multiply
Now raise 2 to the 6th power to get 64
So what we've shown is that
Notice how
. So
So this example illustrates and supports the identity
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Exponent Law # 2:
Now let's say you have the expression
and you want to multiply that by
One way you could do it is simply note that
and
When you multiply
and
, you get
OR
You can use the identity
This identity basically says that if you multiply two expressions that have the same base, you can simply add the two exponents
So in our case
(