Question

32^3/5 in simplest form?

Answer 1

What do you mean?

\[32^{3/5}\]

or

\[\frac{32^{3}}{ 5 }\]

Answer 2

The first!

Answer 3

okay, this will end up as a radical.

Answer 4

5√^3?

Answer 5

yes!

Answer 6

(Sorry about delayed response. For some reason the page would not load.)

Answer 7

\[\sqrt[5]{x^3}\]

Answer 8

or in this case 32=x

Answer 9

That's alright, it was the same for me. I'm stuck on the next step and I have it like 5√2*5 5v2*5 5v2*5 but don't know if that's the right track

Answer 10

Note: 32 is a perfect 5th power, so it should be easier to evaluate 32^(3/5) if you re-write the whole problem as\[(2^5)^\frac{ 3 }{ 5 }\]

Answer 11

What do rules of exponents tell you about evaluating \[(a^b)^c\]?

Answer 12

\[(a^b)^c=?\]

Answer 13

Do you add the b and c?

Answer 14

\[(2^5)^{3/5}=?\]

Answer 15

No, you don't add b and c. Strongly suggest that you look up "rules of exponentiation" and copy them down for later reference.

Answer 16

I'm still fuzzy with these, and I'll remember that!

Answer 17

\[(a^c)(a^d)=a ^{c+d},\] but this is a different situation from the one you're deaing with.

Answer 18

\[(a^b)^c=?\]

Answer 19

I'm still quite confused, could you explain a bit?