Question

Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent. Make sure you respond with complete sentences. Help !

Answer 1

@wolfe8 can you help?

Answer 2

@bibby can you?

Answer 3

Recall that you can write roots as fractional exponents like so:\[\huge \sqrt[3]{x^5} = x^{\frac{5}{3}}\]

Answer 4

First write out what are third root of x to the fourth power and I'm guessing x to the fifth

Answer 5

that's the problem.. so would it be x4/3? im confused...

Answer 6

That's how your question is written? Then do as Bibby said to convert the root into a fractional power.

Answer 7

x4/3...

Answer 8

A root of a number is the number to the power of the inverse of that root number.

Answer 9

Right. Then recall that when an exponent is outside a brackets you multiply the exponents.

Answer 10

Btw you should write that one as \[x ^{\frac{ 4 }{ 3}}\]

Answer 11

so you'd multiply 4/3 & 5?

Answer 12

Yup

Answer 13

\[20/3 ?\]

Answer 14

@wolfe8

Answer 15

Yup

Answer 16

so can you help me explain on how to find it.. in sentences :) please.

Answer 17

I did tell you what to do in sentences :)

Answer 18

wanna put it all together for me? :)

Answer 19

>.> I think that's your part. Just put together what I said...

convert the root into a fractional power.
A root of a number is the number to the power of the inverse of that root number.
when an exponent is outside a brackets you multiply the exponents.

Answer 20

thank you (:

Answer 21

You're welcome. Good luck

Answer 22

(: