Transcript Subtracting Exponents - EAmagnet-alg

Exponents
Group: 7♥
By: Orlando Gee, Itzel Lazcano, Jerry Kizer. and
Jacqueline Recendez .
What is an Exponent?
Exponent: A quantity representing the power to which a
given number or expression is to be raised,usually
expressed as a raised symbol beside the number or
expression.
An example of a situation in which exponents would be
used would be population increases, population
increases are often calculated using exponents.
Adding Exponents
There are many situations in which you will have to add exponents. Adding exponents is
relatively simple and it includes conditions in which you cannot add the exponents.
You can not add exponents unless they are the same. Meaning, in a problem, you can only add
the numbers if they are being raised by the same power.
Ex:
X^2 + X^5
In this case, you are not allowed to add, because the coefficients given are not being raised by
the same power, so this is as far as you can simplify it.
Ex. #2 :
3x^4 + 7x^4
Since the coefficients given are both being raised by the power of 4, you can add them. When
adding, you have to ignore the power, and look at both coefficients. Now that you have seen
both coefficients, in this case 3 and 7, you must add them.
As a result, you get 10, meaning you have 10x. Now you can put the exponent back where it
belongs.
So the final answer would be → 10x^4
Subtracting Exponents
In order to subtract exponents, the equation which is being worked on must have numbers being
raised by the same power, if they are not being raised by the same power, then you cannot
subtract them.
Ex. h^6 – 3h^8
That is already simplified, you can't further simplify it since the coefficients present are not being
raised by the same power.
Ex. 2: j^2 – 9j^2
In this case, you can subtract. Both coefficients are being raised by the same power, so now just
look at the coefficients, in this case 1, and 9, then subtract them.
1-9 = -8 → -8j
Now that you have this down, put the power back where it belongs(On the “8j”), and you are
done.
→ j^2 – 9j^2 = -8j^2
-8j^2
Dividing Exponents
Dividing exponents is fairly simple, when dealing with exponents, dividing actually means
subtracting. Simple enough, right?
Ex. x^8 / x^5
In this situation, all that has to be done is simple subtraction. Look at the powers, don't mind the
coefficients.
Now that you have your powers down(8 and 5), all you have to do is subtract them. The order
goes from left to right, so it would be 8 – 5.
Of course 8 – 5 = 3
Now that you have the result, you can put the exponent back where it belongs. We got rid of the
8 and the 5, but we now have a 3.
Now, all you have to do is, put that three back on the “x”, where it belongs.
→ x^8 / x^5 = x^3
Multiplying Exponents
This is not as intimidating as it sounds, it's fairly simple, it has the
same basics as dividing exponents, the only difference is, you add the
exponents, rather than subtracting them.
It's as simple as that.
Ex. b^9 x b^3.
All you have to do is take the base, leave it alone, and add the
exponents. Once you have added the exponents, grab the base once
again, and put the result to the addition as its power.
9 + 3 = 12.
Now grab “b” again, and put the 12 as its power.
b^12
The End
Fin → Although no fish is present :)
Well, this is all there is to cover about
simplifying exponential expressions,
hopefully this PowerPoint taught you
the basics.