Answer :

Step-by-step explanation :
To find the product of

First we expand the bracket ,
it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.
Hence


we now apply the law of indices

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.
Then, simplify to obtain
Ther eqaul becayse there are four quarts in a gallon
Answer:
The missing terms are 768, 192, 48.
Step-by-step explanation:
From the given geometric sequence
First term= a_1=3072
Fifth Term= a_5=12
The general form of a geometric sequence is:
a_n=ar^(n-1)
here a_nis the nth term, a is the first term and r is the common ratio.
We will use the general form for term 5 to calculate the value of r.
So the general form for term 5 will be
a_5=3072* r^(5-1)
Putting the value of a_5
12=3072* r^4
r^4= 12/3072
r^4= 1/256
r^4= 1/[(4)^4]
Solving for r
r= 1/4
Now
a_2= ar^(2-1)
a_2=3072*r
a_2=3072* 1/4
a_2=768
a_3= ar^(3-1)
a_3=3072*r^2
a_3=3072*(1/4)^2
a_3=3072* 1/16
a_3=192
a_4= ar^(4-1)
a_4=3072*r^3
a_4=3072*(1/4)^3
a_4=3072* 1/64
a_4=48
Answer:
d
Step-by-step explanation:
Answer:
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