Question

help with solving this equation

Answer 1

\[2x ^{1/4}= 64/x\]

Answer 2

ARe we solving for x?

Answer 3

yes m8

Answer 4

divide by 2.

leaves you with
x^(1/4) = 32/x

times both sides by

x^(4/4) * x^(1/4) = 32

when you multiply like terms, that gets you

x^(5/4) = 32

take both sides to ^(4/5)

x=32^(4/5)

x=16

Answer 5

Haha sorry I am bit slow when typing math problems.

Answer 6

where do you get the 4/4

Answer 7

x^(4/4) * x^(1/4) = 32

Answer 8

when you multiply exponential terms you add the exponent. So...1/4+1=1/4+4/4=5/4

Answer 9

4/4 = 1, and it was x^1 power. I was just finding a common denominator so you could add them together!

Answer 10

can you explain it lemans

Answer 11

\[x^{1/4}\]

Answer 12

You're multiplying x^1 and x^1/4 right?

so when you multiply the two terms, you add their exponents.

How do you add fractions together? You must find a common denominator.

Right now we have 1/1 + 1/4

To find a common denominator, we change the 1/1 to 4/4

so now we can add 4/4 and 1/4 which gives us 5/4

Answer 13

why do i multiply it just by 1 on the left side

Answer 14

\[x^{1/4}=32/x\]

Answer 15

i thought it would be\[^{4/1} x ^{1/4 }=32/x ^{4/1}\]

Answer 16

to cancel out the power on the left handside

Answer 17

You aren't, remember you started with an x on the right side, so you multiply BOTH sides by x.

Answer 18

i need a video tutorial for this lol

Answer 19

i still dont understand

Answer 20

32/x. the x has a power of one and i bring it over to the left hand side

Answer 21

combing like terms. 32/x=32*1/x
So you when muliply it out it will be x^1/4*x^1

Answer 22

so takink the x from 32/x to the left hand side means 1/4 becomes 5/4 bacause x has a power of 1 which is 4/4

Answer 23

Yes that is correct. just combing like terms and in order for this to happen you needed to find a common den, so you can add the exponents.

Answer 24

is the ex ponent x

Answer 25

so how fo you get 16 from x^5/4 = 32

Answer 26

2x^1/4=64/x
2x^1/4=64*1/x
x^1/4=32*1/x
x^1*x^1/4=32
x^4/4*x^1/4=32
x^5/4=32
x=32^4/5
x=16

Answer 27

no x is the variable. The exponents are 1 and 1/4

Answer 28

I tried to write out every step

Answer 29

what do i do to the 32 then

Answer 30

combing like terms so we want our variables on one side and constants on the other.
the part that makes this equation hard are the fractions.
so lets look at it without fractions
2x^4=64/x
2x^4=64*1/x
now we want to isolate the x's, so get rid of the 2 first
x^4=32*1/x
now combine x's, by multiplying by the reciprocal of 1/x
x*x^4=32
x^5=32
\[x =\sqrt[5]{32}\]

Answer 31

THat is what you are doing to the original problem but with fractions in the exponent.