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Mathematics 17 Online
OpenStudy (anonymous):

How do I solve these questions?

OpenStudy (anonymous):

OpenStudy (kinggeorge):

Rewrite the equations as \[x^{5/11}\cdot x^{1/2}\]Now, when your multiplying exponential numbers with the same base, you can add the exponents. Hence, \[\large x^{5/11}\cdot x^{1/2}=x^{\frac{5}{11}+\frac{1}{2}}\]Can you simplify that part yourself?

OpenStudy (anonymous):

King, I am terrible at radicals and fractions. I seriously have no idea.

OpenStudy (anonymous):

Would you just add the fractions together?

OpenStudy (kinggeorge):

Yup, you just need to add the fractions.

OpenStudy (anonymous):

6/13 then?

OpenStudy (anonymous):

That means I would just put x^6/13 into the correct formula which would give me the answer of \[^1\sqrt x6\]

OpenStudy (anonymous):

1 = 13*

OpenStudy (kinggeorge):

Not quite. First we need to get a common denominator. \(2\cdot11=22\) is a good one to choose. So we have \[{5\over11}+{1\over2}={10\over22}+{11\over22}={21\over22}\]Just multiply the fraction on the left by \(2\over2\) and the one on the right by \(10\over10\).

OpenStudy (kinggeorge):

When you're adding fractions, you need the common denominator. When you're multiplying, you can multiply the top and bottom independently.

OpenStudy (anonymous):

I knew it was too easy to believe. T_T So do I still have the correct format for the question? Just replace 13 with 22?

OpenStudy (kinggeorge):

Replace the 13 with 22 and the 6 with 21.

OpenStudy (anonymous):

Yeah. Um, I have another one that involves dividing instead of multiplying the radicals.

OpenStudy (anonymous):

How would you solve this:

OpenStudy (kinggeorge):

I'm sorry but I've really got to go now. I'll be back in about an hour if you desperately want my help. However, for division, you need to subtract the exponents.

OpenStudy (anonymous):

hello austin...

OpenStudy (anonymous):

you still need help?

OpenStudy (anonymous):

\[\sqrt[11]{\frac{x^{10}}{x^6}}=\sqrt[11]{x^{10-6}}=\sqrt[11]{x^4}\]

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