Question

Simplify. Assume no radicands were formed by raising negative quantities to even powers.

Answer 1

What is square root of 9??

Answer 2

3

Answer 3

\(\huge \color{green}{\textbf{Welcome To Openstudy..}}\)

Answer 4

Yes you are right..

And what is the square root of 16??

Answer 5

4. What do you do with the exponents?

Answer 6

-1?

Answer 7

Oh alright, what do you do if they aren't the same?

Answer 8

Firstly we solve for numerator..

\(x^7 = x^6 \times x\)

Yes or no??

Answer 9

Wait, where did the \[\chi ^{6}\] come from?

Answer 10

See,

How can you write x^3??

\(x^3 = x \times x \times x\)

Yes or no??

Answer 11

yes

Answer 12

So, how can you write \(x^7\) ??

Answer 13

\[x \times x \times x \times x \times x \times x \times x\]

Answer 14

Can I write first 6 x as \(x^6\) ??

Answer 15

yes

Answer 16

So what you are left with??

\(x\)

So,

\[x^7 = x \times x \times x \times x \times x \times x \times x\]

\[x^7 = x^6 \times x\]

Getting?

Answer 17

yeah I got it now :)

Answer 18

What is the square root of \(x^6\) ??

Answer 19

Can you solve that? 6 can't be reduced? I'm not really sure actually.

Answer 20

See, square root of \(x^2\) is \(x\)...

Square root of \(x^4 = x^2\)

So what will be the square root of x^6 ??

Answer 21

Would it be \[x^3\] then?