For this case we have that by definition of multiplication of powers of the same base, the same base is placed and the exponents are added:
So, we can rewrite the given expression as:
So, if 
:
Equality is met!
Answer:
4) 62.8 cm^2
5) It is quadrupled
Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator
Answer:
<h2>1130</h2>
Step-by-step explanation:
1*(8^3) + 1*(8^2) + 3*(8^1) + 0*(8^0) = 600
Answer:
C is variable. -10 times c is equal to -0.1
Step-by-step explanation:
