Question

Expressions

Answer 1

\[27\frac{ 5 }{ 3 }\]
\[\sqrt[3]{27^5}\]
\[3^5\]
\[243\]

Answer 2

And what are the instructions given for these expressions?

Answer 3

“Simplify each expression without any rational exponents.”

Answer 4

Correct

Answer 5

Okay. It should be written as `\(27^{5/3}\)`

Answer 6

Sorry, thanks 🙏

Answer 7

\(27^{5/3}\) = \((3^3)^{5/3} = 3^{\left(3\cdot \dfrac{5}{3}\right)}\)

Answer 8

Sorry for taking so long but this was a bit of a trick one. Not really, but in order to do this the simplest possible way you would have had to apply the rule:

Answer 9

\((a^{b})^{c} = (a^{(bc)})\)

Answer 10

Also there is more than one way to do this. But hang on let me verify something real quick.

Answer 11

\((3^3)^{5/3} = 3^{\left(3\cdot \dfrac{5}{3}\right)}\) And so that last step reduces to just \(3^5\) because the 3's in the exponent cancel.

Answer 12

Which simplifies down to 243 right?

Answer 13

Yes, but now I'm wondering what you did to get from your 2nd step to your 3rd step.

Answer 14

I'm thinking you probably used some illegal shortcut method to reduce it but prove me wrong.

Answer 15

You mean to go from a exponent to a square root?

Answer 16

I want to know the RULE you applied going from step 2 to step 3 in the solution you posted above.

Answer 17

Basically, I would like to see the full steps you applied and the rules you applied.

Answer 18

Without the shortcuts.

Answer 19

I just took the cube root of 27

Answer 20

So probably was illegal..

Answer 21

I would like to see the work you did on it though. Yeah, it probably was illegal if you can't show your work for it.

Answer 22

I showed you the work AND the rules I applied for the work I did.

Answer 23

The only thing I see in your work is a bunch of skipped steps unexplained.

Answer 24

I. Not good like that..