Answer:
C) 1/6^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
_____
Using these rules, your expression simplifies to ...
6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32
The <em><u>correct answer</u></em> is:
C.4.1 in
Explanation:
We will use a proportion for this problem.
In the first ratio, we have 6 inches: 80 pounds. This can also be written as 6/80.
For the second ratio, we do not know the length; this is x. The weight is 55; this gives us x/55.
This makes our proportion
6/80 = x/55
Cross multiplying, we have
6(55) = 80(x)
330 = 80x
Divide both sides by 80:
330/80 = 80x/80
4.125 = x
This means the answer is 4.1.
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Ok, the perimeter of the rectangle is 40 inches.