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?

- anonymous

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- schrodinger

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- misty1212

HI!!

- anonymous

hi i need help

- misty1212

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

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## More answers

- anonymous

yess

- 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

- anonymous

10 /8 i add all the exponents

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

- 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
\[\huge \frac{4}{5}+\frac{4}{5}=\frac{8}{5}=1\tfrac{3}{5}\]

- anonymous

ohh i seee noww......

- 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

- misty1212

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

- anonymous

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

- 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

- misty1212

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

- misty1212

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

- misty1212

oh sorry, your friend is right

- anonymous

oh i used the wrong operation :(

- 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

- anonymous

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

- misty1212

ya'll both wrong

- anonymous

ohhhhh why?

- 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 \(x\)

- misty1212

oh wait, i didn't multiply yet

- anonymous

i read to her what you wrote she thinks its A

- misty1212

if you multiply you get \[6 x^2-5 x-4\]

- misty1212

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

- anonymous

lol soo i was right

- misty1212

let me guess
FLVS?

- anonymous

lol yeah im helping her. shes been struggling

- misty1212

i can always tell flvs questions by how bad they are

- anonymous

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

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