Question

You have challenged four other students to come up with expressions equal to x^2. Their submissions are below.

Answer 1

Explain the steps in simplifying the expression of each student and identify who is correct.

Answer 2

@BeckieBird @shamil98 @pitamar @AllTehMaffs Thanks guys :D

Answer 3

o.o uhm ok

Answer 4

I would say Kelly
\[
\sqrt[7]{ x^3 \cdot x^5 \cdot x^6 } = \sqrt[7]{ x^{3+5+6} } = \sqrt[7]{x^{14}} =\\
= \sqrt[7]{x^7 \cdot x^7} = x \cdot x = x^2
\]

Answer 5

Thanks! Can you elaborate more though, can you explain it?

Answer 6

agreed; Kelly

You can add the exponents under the 7th root normally, and then divide by 7
\[\sqrt[7]{x ^{3}x^{5}x^{6}}=x ^{\frac{ (3+5+6) }{ 7 }} = x^{2}\]

Mike's is also right : \[\frac{ x ^{\frac{ 8 }{ 5 }}x ^{\frac{ 4 }{ 5 }} }{ x ^{\frac{ 2 }{ 5 }} } = x ^{\frac{ 8+4-2 }{ 5 }}=x^{2}\]

....

Answer 7

Hmm, I didn't even look at Mike, good job hehe..
For some reason I thought there is one solution

Answer 8

Kim's works too; (1+2+3+4)/5 =2

Scott seems wonky though. His just gives the square root of x

Answer 9

That crazy Scott

Answer 10

:) thanks