## anonymous one year ago i need help What is the simplified form of the fifth root of x to the fourth power times the fifth root of x to the fourth power?

1. misty1212

HI!!

2. anonymous

hi i need help

3. misty1212

$\sqrt[5]{x^4}\times \sqrt[5]{x^4}$??

4. anonymous

yess

5. misty1212

first add up the exponents inside the radical (i.e. multiply) and get $\sqrt[5]{x^8}$ but that is not the final answer

6. anonymous

10 /8 i add all the exponents

7. misty1212

since 5 goes in to 8 one time, with a remainder of 3, the final answer is $x^1\sqrt[5]{x^3}$ or just $x\sqrt[5]{x^3}$

8. misty1212

you have it upside down dear, and the addition is not quite right $\huge x^{\frac{4}{5}}\times x^{\frac{4}{5}}=x^{\frac{8}{5}}$ since $\huge \frac{4}{5}+\frac{4}{5}=\frac{8}{5}=1\tfrac{3}{5}$

9. anonymous

ohh i seee noww......

10. anonymous

Find the solution of 5 times the square root of the quantity of x plus 7 equals negative 10, and determine if it is an extraneous solution. x = −3; extraneous x = −3; not extraneous x = 11; extraneous x = 11; not extraneous

11. misty1212

that may be a good explanation of why the answer is $x\sqrt[5]{x^3}$

12. anonymous

my friend got A and i think is C who's right ?

13. misty1212

it is certainly extraneous, i.e. there is no solution so why should you have to try and find it i have no idea

14. misty1212

i guess they want you to square both sides $25(x+7)=100$

15. misty1212

divide by 25 get $x+7=4$ so $x=-3$ really it is a bad question though

16. misty1212

oh sorry, your friend is right

17. anonymous

oh i used the wrong operation :(

18. anonymous

Given the functions f(x) = −2x − 1 and g(x) = −3x + 4, which operation results in the smallest coefficient on the x term? Addition Subtraction Multiplication Two operations result in the same coefficient

19. anonymous

this is another one we are arguing about. she thinks its B i go with D

20. misty1212

ya'll both wrong

21. anonymous

ohhhhh why?

22. misty1212

add and get $$-5x+3$$ subtract and get who knows because we don't know which one gets subtracted from which, but either way you will not get $$-5x$$ you will get either $$-x$$ or $$x$$

23. misty1212

oh wait, i didn't multiply yet

24. anonymous

i read to her what you wrote she thinks its A

25. misty1212

if you multiply you get $6 x^2-5 x-4$

26. misty1212

so the answer is actually D, two operations result in the same coefficient, addition and multiplication

27. anonymous

lol soo i was right

28. misty1212

let me guess FLVS?

29. anonymous

lol yeah im helping her. shes been struggling

30. misty1212

i can always tell flvs questions by how bad they are

31. anonymous

lol finally someone agrees... lol but thanks again for helping me i'll fan you okok