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Problem 1.
Do you know the definition of a rational (fraction) exponent?

@mathstudent55 im afraid i don't

\(\Huge a^{\frac{m}{n}} = \sqrt[n] {a^m} = (\sqrt[n]a)^m\)

Keep in mind:
numerator -------> exponent
denominator -----> root

Examples:
|dw:1438493658565:dw|

|dw:1438493695962:dw|

|dw:1438493741614:dw|

Do you understand the examples?

The numerator tells you what power to raise the number to before or after you take the root.

Let's look at problem 1 now together.

|dw:1438494095419:dw|

What does the 2 in the denominator mean?

numerator?

From above:
"The denominator of the exponent tells you which root to take."

"When the denominator is 2, you take the square root. "

A denominator of 2 means take the square root.
|dw:1438494212377:dw|

The numerator of 3 means raise the number to the 3rd power.

What is \(2^3\) equal to?

8. but what do you do with the denominator in the fraction?

|dw:1438494329059:dw|

The denominator of the exponent changed the problem from an exponent problem to a root problem.

|dw:1438494376526:dw|

OOHHHHHHHHHH OMG IM SO STUPIDDDD LOL

No, you're not stupid. You're learning. I went through the same process you are going through now.

Are you ready for problem 2?

yup

Here is an example of this rule:
|dw:1438494620860:dw|
Do you underrstand the example?

yes

OK. Now lets do problem 2.

Let's just look at the numerator of our problem.

|dw:1438494930324:dw|

3?

|dw:1438495150225:dw|

Exaclty.
Also, since we have just 7, not 7 raised to some power, that means the numerator is 1.

|dw:1438495224736:dw|

|dw:1438495237856:dw|
Ok?

alright

|dw:1438495324943:dw|
What fraction is the exponent of 7?

|dw:1438495375343:dw|

|dw:1438495456106:dw| would this be it?

Correct.
Now let's put it together the way the problem is given.
|dw:1438495483142:dw|

2/15 ?

|dw:1438495725285:dw|

Correct.

thank you! can you help me with 1 last question?

You're welcome.
Sure, one more.

Have you learned how to solve systems of equations by the addition method?

im afraid not

wouldn't the value of y be 8?

We need to solve the system.

wait i got this question. i sent the wrong picture wow

Have you learned how to solve a system of equations by the substitution method?

this was the one

Ok. I see.

The graph of
\(y = \sqrt x\)
looks like this:
|dw:1438496300889:dw|

|dw:1438496428565:dw|

|dw:1438496631995:dw|

b and d are giving me some strong feelings for some reason. both of them feel right

From the graphs of the choices, you see that:
B is shifted 6 units left
D is shifted 7 units left.

d?

@arindameducationusc do you know what the answer would be??

For question 1, 3 is for square power and 2 is for square root power... so apply that

Just follow mathstudent steps... He is right