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: 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 #2: A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?
A. 8 bags
B. 13 bags
C. 4 bags
D. 24 bags
Answer Explanation
We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.
We are told that 50 people need 4 cups of sugar. This can be interpretated as:
Or
Also, one bag of sugar contains 6 cups. This can also be presented as:
Or
We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.
Therefore, 300 people will need 4 bags of sugar.
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Q #3: Four hundred milligrams is equal to how many grams?
A. 4 g
B. 0.4 g
C. 400,000 g
D. 0.00004 g
Answer Explanation
we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:
So, 400 mg to g becomes
