Question

Can anyone explain what I need to do to solve this question? I will give a medal to who ever helps

Answer 1

spose we had something like:\[3^3=3*3*3\]
well, when we have something like (3^3)^4 we get:\[3^3*3^3*3^3=3*3*3*3*3*3*3*3*3*3*3*3=3^{12}\]

Answer 2

so one of the properties you need to remember is that exponents of an exponent result in multiplicaiton of exponents:\[(b^n)^k=b^{nk}\]

Answer 3

the next property is simply how to turn a fractional exponent into a radical, which is simply rooting to the denominator

Answer 4

well ya got to it first but yeah
\[\large (x^m)^n = x^{m*n}\]

Answer 5

\[\large b^{n/d}=\sqrt[d]{b^n}\]

Answer 6

my (3^3)^4 example is missing a 3^3 :/

Answer 7

To be honest I don't understand I know how to use the equation but I just couldn't figure out what I have to do with 3/5^4

Answer 8

mutiply the exponents first: what is 3/4 * 2/3 ?

Answer 9

that would be 1/2

Answer 10

then we are looking for 5^(1/2) in radical form

Answer 11

2rt(5^1)

2rt is normally written as sqrt so: sqrt(5)

Answer 12

2rt = sqrt
3rt = cbrt
4rt, 5rt, 6rt, are just written as n rt

Answer 13

\[\sqrt[2]{5}\] this should be it then right?

Answer 14

yes, but in this case that little 2 is not usually written in since \(\sqrt[2]{...}=\sqrt{...}\)

Answer 15

Okay that makes sense :] thank you!

Answer 16

good luck ;)

Answer 17

Thanks!