SOLUTION: what is the value of 2 to 6th power times 2 to the 4th power divided by 2 to the 5th power i know its 32 but i wanna know why its 32 ?

Question 852674: what is the value of 2 to 6th power times 2 to the 4th power divided by 2 to the 5th power
i know its 32 but i wanna know why its 32 ?
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Here are some common exponent rules

(Image Source: http://coxmath.blogspot.com/2010/08/exponent-rules.html)

We will be using rule #1 and rule #2. You will use other rules for other problems, but we will only use those 2 rules for now.

Using rule #1

Using rule #2

Note: (there are 5 copies of '2' being multiplied to get 32)

================================================================

So that's how
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

As long as the base is the same ( 2 in this case ),
Multiplying ADDS the exponents
Dividing SUBTRACTS the exponents
-----------------------------------
To see this, just write everything out the long way:

-------------------------------------------------------
Now rewrite it this way:

It's the exact same thing, but now you can see the
cancellation top and bottom. You are left with:

----------------------
Expressed with exponents, what I just did was:

-------------------------------

-------------------------------

-------------------------------
And what I just did to get the final exponent = is

or, the same thing in the 2nd step:

------------------------
Just write everything down the long way if you get
confused, and do the top and bottom cancellation.
Hope this helps

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