Answer: There are 9 different types of note cards that the store sells.
We can use the Fundamental Counting Principle to determine the total number of options.
There are two different events in this problem. First, there are 3 kinds of cards. Second, there are 3 sizes for each kind.
Simply, multiply the 3 by the other 3 and you have 9 different options.
Just think, each card would have a small, medium and larger option. So there are 3 groups of 3 or 9 total options.
The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) can be found by simplifying the given algebraic equation,
![(x^{\frac14}y^{16})^{\frac12}\\\\=x^{(\frac14 \times \frac12)} \times y^{(16 \times \frac12)}\\\\= x^{\frac18}y^{8}](https://tex.z-dn.net/?f=%28x%5E%7B%5Cfrac14%7Dy%5E%7B16%7D%29%5E%7B%5Cfrac12%7D%5C%5C%5C%5C%3Dx%5E%7B%28%5Cfrac14%20%5Ctimes%20%5Cfrac12%29%7D%20%5Ctimes%20y%5E%7B%2816%20%5Ctimes%20%5Cfrac12%29%7D%5C%5C%5C%5C%3D%20x%5E%7B%5Cfrac18%7Dy%5E%7B8%7D)
Hence, the expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.
Learn more about Expression:
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1. C
2.A
Hope this helps, good luck :D
Please take a photo of this problem... it looks very hard when it is written in the way you did.
<h3>
If I am reading this correctly the answer should be 1,977,326,743x^3</h3>
The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.
<h3>How to find variable in an equation?</h3>
The variables of an equation can be found as follows:
–x + 8 + 3x = x – 6
The variable in the equation is x.
Therefore,
–x + 8 + 3x = x – 6
combine like terms on the left side
-x + 3x + 8 = x - 6
2x + 8 = x - 6
subtract x form both sides of the equation
2x - x + 8 = - 6
x + 8 = -6
subtract 8 from both sides
x = -6 - 8
x = - 14
learn more on equation here: brainly.com/question/1347990
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