一个ll ACT Math Resources
Example Questions
Example Question #2 :How To Divide Exponents
Simplify:
To simply exponents in a fraction, subtract the exponent for each variable in the denominator from the exponent in the numerator. This will leave you with
or
Example Question #3 :How To Divide Exponents
What is the value ofmwhere:
1
2
6
-2
4
2
If n=4, then 64(4/12)=64(1/3)=4. Then, 4=m4(1+m)/(m+4). If 2 is substituted form, then 4=24(1+2)/(2+4)=241/2=2√4=22=4.
Example Question #4 :How To Divide Exponents
简化后:
x7/3
Cannot be done
x4
1/x4
x4
These exponents have the same base, x, so they can be divided. To divide them, you take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent). Here that means we take 7 – 3 so our answer is x4.
Example Question #5 :How To Divide Exponents
Simplify:
Use rule for multiplying exponents to simplify the numerator.
Use rule for dividing exponents to simplify.
Example Question #6 :How To Divide Exponents
Simplify:
Simplify:
Step 1: Simplify the fraction. When dividing exponents subtract the exponents on the bottom from the exponents on the top.
Step 2: Distribute the exponent. When raising an exponent to a power, multiply them together.
Example Question #7 :How To Divide Exponents
Simplify
None
Divide the coefficients and subtract the exponents.
Example Question #8 :How To Divide Exponents
Which of the following is equal to the expression, where
xyz ≠ 0?
z/(xy)
xy
1/y
xyz
z
1/y
(xy)4can be rewritten as x4y4and z0= 1 because a number to the zero power equals 1. After simplifying, you get 1/y.
Example Question #1 :How To Divide Exponents
If, then
Cannot be determined
Start by simplifying the numerator and denominator separately. In the numerator, (c3)2is equal to c6. In the denominator, c2* c4equals c6as well. Dividing the numerator by the denominator, c6/c6, gives an answer of 1, because the numerator and the denominator are the equivalent.
Example Question #10 :How To Divide Exponents
If, which of the following is equal to?
The answer cannot be determined from the above information
a
a18
a4
a6
a18
The numerator is simplified to(by adding the exponents), then cube the result. a24/a6can then be simplified to.
Example Question #11 :How To Divide Exponents
简化后
.
Start by remembering that you "flip" negative exponents over the division bar, thus moving from the top to the bottom and vice-versa. (There are other ways to do this as well, though most students understand this way most easily.)
Next, you just eliminate common factors and combine on the numerator. First combine thes:
Cancel out the numeric coefficient:
Now eliminates ands: