Question

I need help with an radical and rational problem

Answer 1

\[x^1_4 * x^5_4 * x^9_4 * \sqrt[4]{x} \]

Answer 2

so far I change the 4 square root of x into x to the power of 1/4 and I checked on another website that all this power fractions together create x^4.

Answer 3

I don't know how they got that because I when I add them all together get x^16/4 which is thought was 4x but the site says it is x^4 and I have other problems like this and I don't know which one is correct and how?

Answer 4

ur absolutely right with changing the power to a fraction
power rules:
\[\sqrt[4]{n^3} = n^{\frac 34}\]

\[ x^2 \times x^3 \times x^4 = x^{2+3+4}\]

Answer 5

so all u really need to work on is fractions
ignore the x for a secong
\[\frac 84 = \frac {4+4}{4} = 2\]
so
\[\frac {16}{4} = \frac {4+4+4+4}{4} = 4\]

Answer 6

1/4 + 5/4 + 9/4 + 1/4 = (1+5+9+1)/4 = 16/4 = 4

Answer 7

so final answer is x^4

Answer 8

does that make sense @issy987 ?

Answer 9

but why is it a small four and not a big four because I thought that x ^ 4/4 + 4/4 + 4/4 + 4/4 would be 4x

Answer 10

no, this is powers
so x^(1+1+1+1) is the same as writing x times x times x times x

Answer 11

so wouldn't that be 3x if it is x times x times x times x

Answer 12

and 4x is not the same as x^4
in the same way that 4x2 (=8) is not the same as 2^4 (=16)

Answer 13

\[x = x^1\]\[x \times x = x^2\]\[x \times x \times x = x^3\]
\[x \times x \times x \times x = x^4\]

Answer 14

but lets say we replace x with 4, so wouldn't it be 4 *4 = 8 because 4 *4 does not equal 4^2

Answer 15

but 4 x 4 does not equal 8
4 + 4 = 8
4 x 4 = 16 tho = 4^2

Answer 16

you are right, omg I am sorry I have been doing to much math that I forgot, and I understand now, thank you so much.

Answer 17

that's all good hey, np

Answer 18

jew wanna try one of the others now?

Answer 19

which others?

Answer 20

"...I have other problems like this and I don't know which one is correct and how?"

Answer 21

ah ok thank you, I will put down what I wrote

Answer 22

all good then, slaters issy

Answer 23

so would the x to the power of 12/3 equal x^4 or 4x

Answer 24

x^4
12/3 = 3+3+3+3/3 = 4

Answer 25

ah ok so I have to go back and change it huh and what about x to the power of 11/4

Answer 26

11/4 = (4+4 +3)/4 = 2 + (3/4)
\[x^{2 \frac 34}\]

Answer 27

so you are saying that even the power has a power?

Answer 28

or the power has a fraction within it, I think I understand but can you look at this last one?

Answer 29

of course, happt to

Answer 30

x to the power of 21/5, I put 4x to the power of 1/5 but it would really be x to the power of 4 1/5

Answer 31

yep, perfect (4 and 1/5)

Answer 32

ok thank you, I think that is all but if there is anything else, can I ask you?

Answer 33

of course, its pretty late over here tho, so imma b asleep soon
jus a heads up hey ;D