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anonymous
 one year ago
check attachments please? thanks!
anonymous
 one year ago
check attachments please? thanks!

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Problem 1. Do you know the definition of a rational (fraction) exponent?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 im afraid i don't

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\Huge a^{\frac{m}{n}} = \sqrt[n] {a^m} = (\sqrt[n]a)^m\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2To find a rational power of a number, raise the number to the numerator of the exponent and take the root of the number the denominator tells you.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Keep in mind: numerator > exponent denominator > root

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Examples: dw:1438493658565:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438493695962:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438493741614:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Do you understand the examples?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2All the examples show you the same idea. The denominator of the exponent tells you which root to take. When the denominator is 2, you take the square root. When the denominator is 3 you take the cubic root, etc.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The numerator tells you what power to raise the number to before or after you take the root.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. i do. what i don't get is that when you get the result you get a single number, but my answer choices have the square root symbol would what you showed me still apply?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Let's look at problem 1 now together.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438494095419:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What does the 2 in the denominator mean?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2From above: "The denominator of the exponent tells you which root to take."

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2"When the denominator is 2, you take the square root. "

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2A denominator of 2 means take the square root. dw:1438494212377:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The numerator of 3 means raise the number to the 3rd power.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What is \(2^3\) equal to?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.08. but what do you do with the denominator in the fraction?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438494329059:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The denominator of the exponent changed the problem from an exponent problem to a root problem.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438494376526:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OOHHHHHHHHHH OMG IM SO STUPIDDDD LOL

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No, you're not stupid. You're learning. I went through the same process you are going through now.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Are you ready for problem 2?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Here you will need a property of exponents. Here it is: \(\Huge \dfrac{a^m}{a^n} = a^{m  n} \) When you divide powers with the same base, write the same base and subtract the exponents.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Here is an example of this rule: dw:1438494620860:dw Do you underrstand the example?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2OK. Now lets do problem 2.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The first step is to use the rational exponents in reverse. Earlier, I explained how to handle a fraction as an exponent. In this problem, you are given a root in the numerator and a root in the denominator. We need to use the rule of rational exponents in reverse, and write the numerator and denominator of this fraction with fractions for the exponents.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Let's just look at the numerator of our problem.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438494930324:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495081620:dw We need to replace the box with an exponent. You need to work backwards, and figure out what fraction you need to raise 7 to to get the cubic root of 7. Remember above we saw that the denominator of an exponent tells you which root to take. Here we see we are taking the 3rd root (called the cubic root) of 7. If we take the cubic root of 7, what do we need in the denominator of the exponent?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495150225:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Exaclty. Also, since we have just 7, not 7 raised to some power, that means the numerator is 1.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495224736:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495237856:dw Ok?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now let's look at the denominator. The denominator is similar to the numerator except instead of the cubic root, it's the fifth root.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495324943:dw What fraction is the exponent of 7?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495375343:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438495456106:dw would this be it?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct. Now let's put it together the way the problem is given. dw:1438495483142:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now you need the rule I gave you above. What do you do when you dived powers with the same base? You subtract the exponents. dw:1438495589942:dw What goes in the box?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438495725285:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you! can you help me with 1 last question?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You're welcome. Sure, one more.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Have you learned how to solve systems of equations by the addition method?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't the value of y be 8?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We need to solve the system.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait i got this question. i sent the wrong picture wow

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Have you learned how to solve a system of equations by the substitution method?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 well turns out i did because in the snapshot there was no answer. but then i check on my page and it had the answer on it, so i probably figured out this morning

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The graph of \(y = \sqrt x\) looks like this: dw:1438496300889:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2When you replace x by x  k, where k is a number, the graph shifts horizontally (left or right) k units.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438496428565:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2If you compare \(y = \sqrt x\) with \(y = \sqrt{x + 7} \), you see that x was replaced by x + 7. That means that when you compare x + 7 with x  k, you see that it equals x  (7). k = 7. Since k is a negative number, it means the graph shifts to the left. The 7 tells you it is a shift of 7 units left.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438496631995:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b and d are giving me some strong feelings for some reason. both of them feel right

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2From the graphs of the choices, you see that: B is shifted 6 units left D is shifted 7 units left.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@arindameducationusc do you know what the answer would be??

arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.0For question 1, 3 is for square power and 2 is for square root power... so apply that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@arindameducationusc im afraid i have already answered question 1. I'm sorry for not informing you . i need 2

arindameducationusc
 one year ago
Best ResponseYou've already chosen the best response.0Just follow mathstudent steps... He is right
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