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Reason: This is 8^-3*x, which means that 1/8^3 =1/512x

8^7=1/512x

8^7 = 2097152

2097152=1/512x

Multiply by the reciprocal of the fraction to get rid of it.

x=2097152*512

2097152*512 = 1073741824

So, x=1073741824

8^7=x*8^-3 = x=1073741824

1/2 × 2/5

Step 1. Multiply the top numbers:

1/2 × 2/5  =  1 × 2   =  2 

Step 2. Multiply the bottom numbers:

1/2 × 2/5  =  1 × 2/2 × 5  =  2/10

Step 3. Simplify the fraction:

2/10 = 1/5

Find the missing factor. Write your answer in exponential form. 

8^7=?*8^-3 

PLEASE TEACH ME STEP BY STEP!!

It will do it, but you may get a decimal for an answer instead of a 'fraction'......there are lots of  true fraction calculators out there. Try this one:

http://www.calculator.net/fraction-calculator.html

150

2(x+3) =1

2x + 6 = 1

2x = 1-6

2x=-5

x= -5/2

200 x 70% = 200 x .7 = 140

Well, you can't.        Do you have more information or a diagram??

The integral of  sec(x) dx  is:  ln| sec(x) + tan(x) |  +  a constant

There is a very big difference between degrees and radians.

Degrees are an arbitrary way of splitting a circle into 360 equal segments.  Note the word 'arbitrary'. Degrees are not an absolute way of measuring angles and for this reason do not work very well for more advanced maths.Radians are an absolute measure.

Why?     Because one radian is defined as the angle which subtends a length of arc on a circle which is EXACTLY ONE RADIUS in length.Put simply,if I draw an arc on a circle ,and that arc is exactly the length of the circle's radius,the angle that the arc makes within the circle is defined as one radian.  Can you see that by measuring an angle in this way,ie by using the properties of the circle itself  rather than just deciding to split it up into a number of abtitrary pieces it is an absolute measure?

So,converting radians to degrees ; how many arc lengths of a circle make up the circumference?  2pi,since the circumference of a circle is 2pi times the radius.

So 2 pi radians equals 360 degrees.

(4p^2+2)(3p-1) = 12p^3+6p-4p^2-2 = 12p^3-4p^2+6p-2

6/8 x 5/7 = 3/4 x 5/7 = 15/28

Solve for x:
90 = 40.3295+40.2443 sin(0.0729 x+4.6878)

40.3295+40.2443 sin(0.0729 x+4.6878) = 80659/2000+(402443 sin((729 x)/10000+23439/5000))/10000:
90 = 80659/2000+(402443 sin((729 x)/10000+23439/5000))/10000

90 = 80659/2000+(402443 sin((729 x)/10000+23439/5000))/10000 is equivalent to 80659/2000+(402443 sin((729 x)/10000+23439/5000))/10000 = 90:
80659/2000+(402443 sin((729 x)/10000+23439/5000))/10000 = 90

Subtract 80659/2000 from both sides:
(402443 sin((729 x)/10000+23439/5000))/10000 = 99341/2000

Multiply both sides by 10000/402443:
sin((729 x)/10000+23439/5000) = 496705/402443

Take the inverse sine of both sides:
(729 x)/10000+23439/5000 = pi-sin^(-1)(496705/402443)+2 pi n_1  for  n_1  element Z
   or  (729 x)/10000+23439/5000 = sin^(-1)(496705/402443)+2 pi n_2  for  n_2  element Z

Subtract 23439/5000 from both sides:
(729 x)/10000 = -23439/5000+pi-sin^(-1)(496705/402443)+2 pi n_1  for  n_1  element Z
   or  (729 x)/10000+23439/5000 = sin^(-1)(496705/402443)+2 pi n_2  for  n_2  element Z

Multiply both sides by 10000/729:
x = -15626/243+(10000 pi)/729-10000/729 sin^(-1)(496705/402443)+(20000 pi n_1)/729  for  n_1  element Z
   or  (729 x)/10000+23439/5000 = sin^(-1)(496705/402443)+2 pi n_2  for  n_2  element Z

Subtract 23439/5000 from both sides:
x = -15626/243+(10000 pi)/729-10000/729 sin^(-1)(496705/402443)+(20000 pi n_1)/729  for  n_1  element Z
   or  (729 x)/10000 = -23439/5000+sin^(-1)(496705/402443)+2 pi n_2  for  n_2  element Z

Multiply both sides by 10000/729:
Answer: |  x = -15626/243+(10000 pi)/729-10000/729 sin^(-1)(496705/402443)+(20000 pi n_1)/729  for  n_1  element Z
   or  x = -15626/243+10000/729 sin^(-1)(496705/402443)+(20000 pi n_2)/729  for  n_2  element Z

Solve for n over the real numbers:
4 n^2-16 n-21 = 44

Divide both sides by 4:
n^2-4 n-21/4 = 11

Add 21/4 to both sides:
n^2-4 n = 65/4

Add 4 to both sides:
n^2-4 n+4 = 81/4

Write the left hand side as a square:
(n-2)^2 = 81/4

Take the square root of both sides:
n-2 = 9/2 or n-2 = -9/2

Add 2 to both sides:
n = 13/2 or n-2 = -9/2

Add 2 to both sides:
Answer: |  n = 13/2              or              n = -5/2

To 1 decimal place: 17.0

To 2 decimal place: 16.97

To 3 decimal place: 16.971

To 4 decimal place: 16.9706

40.2443sin (0.0729x + 4.6878) + 40.3295 = 90

40.2443sin (0.0729x + 4.6878) = 49.6705

sin (0.0729x + 4.6878) = 49.6705/40.2443 (= 1.234224474024893)

Because the function sine will only give out answers between -1 and 1

Therefore sin (0.0729x + 4.6878) = 1.234224474024893 is impossible

So there are no solutions to this equation

One calculator is probably set in radians,and the other one in degrees.Make sure you have set it properly.If you are getting different answers on different machines,you are doing something wrong.Machines don't make mistakes.

2+7⋅2−5+8

= 2+14-5+8

and then use your calculator to get

=19