Question

Can anyone help me with this? Question is below

Answer 1

How do I work this out?

Answer 2

@mathmate

Answer 3

so first of all you need to know that the denominator of the fractional exponent mean the index of the radical

using this can you rewriting these exponential terms in radical form ?

Answer 4

like an example

a^(1/2) = sqrt(a)

Answer 5

and again you need to know that

2a^x *3a^y = 6a^(x+y)

Answer 6

At 1st simplify
2C^3/5 * 3C^1/5
Multiply 2 * 3 = 6
C^3/5 * C^1/5 = C^3/5 + 1/5 which equals C^4/5

So we have 6C^4/5
Radical form is like
81^1/4 = 4sqrt 81

In our case 6 is out the sqrt because it's not included with the exponent
And the exponent 4 is inside the sqrt with the C and 5 is also out the sqrt

So option A

Answer 7

will not is right bc. there will get radical index 5 not sqrt bc. the denominator of the fractional exponent not is 2 so is 5

ok. ?

Answer 8

\[Given ~a ^{\frac{ b }{ c }}\] rewrite this in radical form as \[\sqrt[c]{a ^{b}} \]

Answer 9

This is a basic, standard equivalence that you have to learn, remember and practice.

Now, look at this specific problem\[c ^{\frac{ 3 }{ 5 }}\] Please follow the above rule to rewrite this in radical form. Your turn.

Answer 10

ok, I think I get it now. just this stuff is confusing to me and my teachers give us lessons that tell you everything but how to do the problems...

Answer 11

Mind rewriting c^(3/5) now?

Answer 12

Yeah I meant 5 is the index

Answer 13

c^3/5 is \[\sqrt[5]{C^{3}}\] @mathmale

Answer 14

Perfect. Looks like you've "got it."

Answer 15

ok thanks guys for the help

Answer 16

You're welcome...good luck!

Answer 17

np

yw

anytime