Question

Simplify (image in comments)
A. 5^9/4
B. 25 8sqrt5
C. 5^9/10
D. 3125 sqrt5
E. none of these

I'm getting B? is this correct?

Answer 1

@DanJS could you help me?

Answer 2

sure

Answer 3

do you remember that
\[\sqrt{x} = x ^{1/2}\]

Answer 4

let me type the equation in here...

Answer 5

\[\sqrt[5]{(25)^2*\sqrt{5}}\]

Answer 6

yes. i remember that.

Answer 7

ok, then you can write, fifth root is the same as to the 1/5 th power...

Answer 8

\[[25^2 *5^{1/2}]^{1/5}\]

Answer 9

i got 5^9/10 when i solved that equation

Answer 10

so that would be C then?

Answer 11

sorry i was getting crazy lagg

Answer 12

thats okay i just finished solving it lol

Answer 13

write the 25^2 as 5^4

Answer 14

so you get , after multiplying each term by the 1/5

5^(4/5) * 5^(1/10)

Answer 15

which is the same as

5^(4/5 + 1/10) = 5^ (8/10 + 1/10) = 5^(9/10)

yep

Answer 16

you know all the exponent rules, or you want me to go through them real fast?

Answer 17

there are like 4 or 5 of them

Answer 18

i think i know them but run through them quick so that i can make sure i've got them all