Simplify the expression below. Which of the following is correct? \(18x^5yz\ \div\ \ 6xyz^4\)
A. \(3x^4z^3\)
B. \(3x^4yz^3\)
C. \(\frac{(3x)^4}{z^3}\)
D. \(\frac{(3x^4)}{z^3}\)
We use the properties of exponent with the same base to solve for above expression.
Multiplication of exponents with same base, we add the exponents
Division of exponents with same base, we subtract the exponents
Using these two properties, we can solve the expression:
Now we use the following properties:
y0 =1, and 
, thus
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: To determine the insurance of a car, an insurance company considers the following determinants: the age of the car, the model of the car, and the mileage of the car. Which of the following is the dependent variable?
A. Model
B. Insurance premium
C. Mileage
D. Age
Answer Explanation
A dependent variable is one that when another variable changes, it also changes. In our case, the insurance premium changes if the age, model, mileage of car changes. Thus, insurance premium is the dependent variable while the other three are independent variable.
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Q #2: A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale's weight in ounces(oz)?
A. 29 oz
B. 41 oz
C. 35 oz
D. 53 oz
Answer Explanation
We convert the given weight in pounds to ounces and find total weight. 1 pound=16 ounces, which we interpret as
Or
Use the second option to convert pounds to ounces
Now, we can ounces to ounces as: 48 oz + 5 oz= 53 oz
Therefore, 3 pounds, 5 ounces is equal to 53 oz
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Q #3: Which of the following is the value of x in the equation below? 4x- 3- 5x=24
A. -27
B. -6
C. 3
D. 21
Answer Explanation
to solve for x, we order like terms together and proceed as follows:
4x-3-5x=24
Add 3 to both sides of the equation
4x-3+3-5x=24+3
4x+3-3-5x=27
4x-5x=27
-x=27
Divide both sides by -1
-x/-1=27/-1
x= -27
Thus, the unknown value of x is -27
