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Since the number is smaller than 1, you will get a negative exponent; the number will be the number of places that you mov the decimal point from where it is until immediately after 1.

0.00 00 00 1  =  10^-7

log(0.0000001)  =  -7

1000 degrees = 720 degrees + 280 degrees

So, 1000 degrees is two full rotations plus 280 degrees

And 280 degrees is an 80 degree reference angle in the 4th quadrant.

From 1000° keep subtracting 360° until you get an answer in the range:  0° ≤ angle < 360°.

9x - 7  =  -7

Add 7 to both sides:

9x  =  0

Divide both sides by 9:

x  =  0

This is a quadratic, I would write it into this form and then use the quadratic formula:

2√3cos²θ - cosθ - 2√3 = 0

cosθ  =  [1 ± √( 1 - 4(2√309-2√3) ) ] / ( 4√3 )

cosθ  =  [ 1 ±  √(1 + 48) ] / ( 4√3 )

cosθ  =  8 / ( 4√3 )  =  2 / √3  --->  impossible        

or  cosθ  =  -6 / ( 4√3 )  =  - √3 / 2    --->  θ  =  5π/6  (too small)  or  θ  =  7π/6

Nope...it's absolutely free.....!!!!!

If you mean:  (6^3) / (12^4)

This is [6 x 6 x 6] / [12 x 12x 12 x12]

  cancel the 6's into the 12's to get:  1 / [2 x 2 x 2 x 12]  =  1 / 96

Or, if you have to show all the exponential steps, 

Since  6 = 2·3,  6^3 = (2·3)^3  =  2^3 · 3^3

Since 12  =  4·3  =  2²·3,  12^4  =  (2²·3)^4  =  (2²)^4 · 3^4  =  2^8 · 3^4 

So:  (6^3) / (12^4)  =  [ 2^3 · 3^3 ] / [ 2^8 · 3^4 ]

                               =  1 / [ 2^5 ·  3 ]

                               =  1 / 96

a² / (1 - a)  =  K / b

Cross multiply:  a²b = K(1 - a)

Multiply out:     a²b  =  K - Ka

Transfer:          a²b + Ka - K  =  0

Use the quadratic formula:  a  =  [-K ± √( K² + 4bK) ] / (2b)

Thank you so much Geno3141 :)

Yes! You are correct!

There are two log keys on your calculator:

'log'  is used for logs with a base of ten; called "common logs"; created to make calculations much easier before there were hand-held calculator.

'ln'  is used for logs with a base of e (an irrational number, approximately 2.7182818); called "natural logs"; because they occur naturally when using the base ten system (used exclusively in calculus and problems requiring calculus). 

So, the answer is m = -1/2  and  b = 3 ??

The form is  y = mx + b;  you have y  =  (-1/2)x + 3.

For your problem,  m = -1/2  and  b = 3

Either hit the  e  key  or type the letter 'e'.

I'm not sure. That was the question given. 

An equation solved for  y  so that it has the form  y  =  mx + b    is in slope-intercept form.

The value of  m  is the slope; the value of  b  is the y-intercept.

Your equation is in the right form; can you pick out the values of  m  and of  b?

Does it have a right angle (an anlge of 90°), then it's a right triangle.

If you know the sides, use the Pythagorean theorem:    a² + b²  =  c²

Choose one of the two smaller sides, put that number in for  a;

take the other smaller side and put that number in for  b;

put the largest number in for  c.

Calculate the left side (a² + b²) and calculate the right side (c²); if they're equal it's a right triangle; if they're not, it's not.

If you want a decimal approximation, use the calculator; if you want it in reduced form, write it as a number times perfect squares.

First divide out 100's:  1 800 000  =  180 x 100 x 100

Divide up 180; it is divisible by 4 and by 9, leaving a 5.

                                 1 800 000  =  5 x 4 x 9 x 100 x 100

                                √1 800 000  =  √5 x √4 x √9 x √100 x √100

                                                   =  √5 x 2 x 3 x 10 x 10

                                                   =  600√5

Pi is infinity neverending

When one angle in the triangle meet is a ninety degree angle, like the corner of a square

No!  9+10=19 you ditwit child