Question

Which of the following is the simplified form ofthe seventh root of x times the seventh root of x times the seventh root of x ?

Answer 1

I thought my answer made the most sense since when the denominators are the same you keep them the same, right? then there was no numerator to go off of.

Answer 2

remember xth root is just power of (1/x), and timesing by itself means to the power of 2, so timesing twice is a power of 3

Answer 3

I am confused... haha

Answer 4

a^(1/x) * a^ (1/x) = a^(2/x) not a^(2/2x)

Answer 5

I think the answer should have been A. I am looking back on my notes now.

Answer 6

exponents add when you multiply the bases and minus when you divide them.

Answer 7

so since 7 is the base i add?

Answer 8

so 7^(1/3) * 7^(1/3) should be 7^(1/3 + 1/3), you add the powers not the 7s

Answer 9

and you can only do that when the bases are the same.

Answer 10

wait, i am just simplifying so i shouldn't even put it into a radical expression

Answer 11

yes, but to help see better, do you understand how seventh root of x = x^(1/7)?

Answer 12

it's hard for me to read the equation

Answer 13

$$x^{1/7}$$

Answer 14

is that better, this is the way to express seventh root of x, are you familiar with this?

Answer 15

yes

Answer 16

ok then as I was saying, when you have $$x^{1/7}$$ times $$x^{1/7}$$, you do $$x^{1/7 + 1/7}$$, do you understand this step?

Answer 17

i do

Answer 18

then timesing 3 times will be adding their powers 3 times, and that would be?

Answer 19

3/7? going out on a limb here cause i'm lost :/

Answer 20

you're right

Answer 21

surprising.

Answer 22

x 3/7

Answer 23

thank you much for your help, just trying to understand this stuff