What connection(s) can you make between the Quotient Rule and Zero as an Exponent Rule?
What connection(s) can you make between the Quotient Rule and the Negative Exponent Rule?

Step-by-step explanation:

For any nonzero real number  a  , the zero exponent rule of exponents states that  

In this case, we would use the zero exponent rule of exponents to simplify the expression to  1  . To see how this is done, let us begin with an example.

If we were to simplify the original expression using the quotient rule, we would have

If we equate the two answers, the result is   . This is true for any nonzero real number, or any variable representing a real number.

The sole exception is the expression    . This appears later in more advanced courses, but for now, we will consider the value to be undefined.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

homozygous. one is homozygous, while two is heterozygous.