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(4x^3)^1/5=(216)^1/5   for this to be true, it is evident that 4x^3 must = 216

So we have

4x^3 = 216     divide both sides by 4

x^3 = 54         take the cube root of both sides

x = ³√54 = ³√(27*2) =  (3) ³√2

.166666666 in a fraction would be one sixth or 1/6.

Hope this helps.

~ dogeminer

You would multiply the square root of the positive integer by the variable i, as in imaginary numbers. For example, the square root of -4 would be 2i. To do this, just find the square root of the positive version, then multiply that by i. The square root of 5 is 2.23, making the square root of -5 simply 2.23i. 

Hope this helps.

~ dogeminer

It appears that a successive term is found by subtracting 10 from the previous one...

Thank you! I got a totally different answer, but I see how you did it! Thanks again!

it's fine CPhill! thanks

Sorry, saseflower....didn't see you jump in there....good answer, though !!!!

-7(2 + 2x) = -42    distribute the -7 across the terms in the parenthesis

-14 - 14x = -42      add 14 to both sides

-14x = -28             divide both sides  by -14

x = 2

first use distributive property

-14 + (-14x) = -42

now add 14 on both sides

-14x = -28

now divide by -14 on both sides

x = 2

and there's your answer!

C=2*pi*r

=2*3.14*2.5 metres

If you do this on a calculator you will need to put the times sign between the  pairs of brackets.

(-4.13)*(-0.8)

im pretty sure people usually use 1 1/3

anytime Melody, thanks for adding on

Almost perfect but

You actually need to divide by -7      

You are giving a lot of really good answers saseflower  

It's a prime number so only 1 and 41 go into it with no remainder

Thanks saseflower,

I just want to add that it can be positive or negative or 0

√x+√(x-6)=12      subtract √x from both sides

√(x-6) = 12 - √x    square both sides

x-6  = x - 24√x + 144    subtract x-6 from both sides

0 = -24√x + 150         add 24√x to both sides

24√x = 150                divide both sides by 24

√x = 150/24 

√x = 25/4                  square both sides

an integer is a whole number; a number that is not a fraction.

5 1/3 divided by 4

now turn 5 1/3 into an improper fraction and 4 into a fraction

16/3 divided by 4/1

now multiply and use the recipricle

16/3 x 1/4

16/12

which simplifies to:

4/3 or 1 1/3

20000=.3(28x+36y)-65000 and x+y=10000

Using x + y = 10000      subtract x from both sides....so y = 10000 - x.....and substituting this into the first equation, we have

20000 = .3(28x + 36(10000-x)) - 65000

20000 = .3(28x + 360000 - 36x) - 65000

20000 = .3(360000 - 8x) - 65000

20000 = 108000 - 2.4x - 65000

20000 = 43000 - 2.4x    subtraact 43000 from both sides

-23000 = -2.4x              divide both sides by -2.4

x = about 9583.33

So y =10000 - x =   10000 - 9583.33 = about 416.66

So what is the question?

Good answer Happy :)