Question

Simplify...

Answer 1

\[(3x)^-1/3\]

Answer 2

@amistre64 @ikram002p

Answer 3

@tnt4ever

Answer 4

Hmm

Answer 5

the power is -1/3 just so you know.

Answer 6

I really have no good clue sorry :(

Answer 7

so (3x) to the -1/3 power.

Answer 8

What grade?

Answer 9

It's algebra 2.

Answer 10

Oh ok im working all up in algebra 1 sorry.

Answer 11

oh okay that's fine. thanks anyways.

Answer 12

i assume its just applying a property of exponents .... what does a negative exponent tell us? what does a fractional exponent tell us?

Answer 13

i got no idea what it means to simplify it tho .... rewrite it in another way maybe? but its pretty simple to me as is

Answer 14

a negative exponent would mean the numerator would be one.

Answer 15

reciprocal, yeah. so this starts to look like a fraction

Answer 16

so in this case I get\[\frac{ 1 }{ \sqrt[3]{3x}}\]

Answer 17

thats a good assessment to me. if its simplified ... i got no idea

some may want you to rationalize the denominator and such, but thats just busy work and doesnt really simplify anything in my opinion

Answer 18

the book I use does not like for the denominator to have the root of a number symbol... so in this case, how would I get rid of that cube root of 3x so as to leave the denominator with a digit.

Answer 19

we could have started with just multiplying by 1
\[(3x)^{-1/3}\]
\[\frac{1}{(3x)^{1/3}}*\frac{(3x)^{2/3}}{(3x)^{2/3}}\]
\[\frac{(3x)^{2/3}}{(3x)^{2/3+1/3}}\]
\[\frac{(3x)^{2/3}}{3x}\]

Answer 20

this is confusing :/ ughhh

Answer 21

I don't understand the first step.

Answer 22

:) i flipped, multiplied by a useful form of 1 that would add the exponents to eliminate any radicals

Answer 23

you agree that 1/3 + 2/3 = 1 right?

Answer 24

yes! okay so anything to remove the radical at the bottom... Thanks, I get it now.

Answer 25

good ;)