For this case we must find an expression equivalent to:

By definition of multiplication of powers of equal base we have that the same base is placed and the exponents are added:

By definition of division of powers of the same base we have that the same base is placed and the exponents are subtracted:




By definition of power properties we have to:

Then, the expression is reduced to:

Answer:

To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
Answer:
(2/13)²
Step-by-step explanation:
-3/13 x -8/78 ( - x - is + )
+ 3 x 8 / 13 x 78 = 24/1014 = 4/169 =(2/13)²
Answer:
14
Step-by-step explanation:

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Present Value: P=?
Amount per Payment at the end of each year: A=$1,000
Number of years: n=8
Interest rate: i=6%=6/100→i=0.06
Compounded Annually
P=A{[1-(1+i)^(-n)]/i}
P=$1,000{[1-(1+0.06)^(-8)]/0.06}
P=$1,000{[1-1.06^(-8)]/0.06}
P=$1,000[(1-0.627412371)/0.06]
P=$1,000(0.372587629/0.06)
P=$1,000(6.209793811)
P=$6,209.793810
P=$6,209.79
Answer: Present Value is $6,209.79