Now we have a negative exponent, which is the opposite of a positive exponent.
If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then
the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.
Examples:
The trick is to recognize that
is the same thing as 
and 
mean the same thing.
So, 
For your exercise, 
means you'll move the decimal point 24 places to the left, to make the number smaller.
Answer:
He would be at the 15 yard line.
Step-by-step explanation:
The 40 yard gain would bring him to the 10 yard line (he caught it at the 50 yard line, so 50 - 40 = 10), but the 5 yards lost due to the tackle and push back would bring him to the 15 yard line (10 + 5 = 15).
Answer:
(x + 4)^2 + 3 = 0
Step-by-step explanation:
When you multiply out (a + b)^2, you get a^2 + 2ab + b^2. We already know the a^2 term, which is x^2. We can deduct the first term of the square is x because x * x is x^2, and x would correspond with a. Next, we can connect the 2ab term with 8x, as it includes the variable x.
2ab = 8x
We have established a = x, so:
2xb = 8x
b = 4
We can put this together to get the square:
(x^2 + 8x + 16) + 3 = 0
(the three is added to get a last term of 19 in the given equation)
When we factor the square, it turns out as:
(x + 4)^2 + 3 = 0
Note: Sorry if the answer was a bit confusing, this is kinda hard to explain.
