Answer:
256h^28·k^8
Step-by-step explanation:
This is a pretty straightforward application of the rules of exponents:
(ab)^c = a^c·b^c
(a^b)^c = a^(b·c)
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Applying the first rule to eliminate parentheses, you get ...
= 4^4·(h^7)^4·(k^2)^4
Applying the second rule to combine exponents, you get ...
256·h^28·k^8 . . . . . matches the last choice
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An exponent signifies repeated multiplication. That is ...
k^2 = k·k . . . . . the exponent of 2 means k appears 2 times in the product
Then ...
(k^2)^4 = (k^2)·(k^2)·(k^2)·(k^2) . . . . . k^2 appears 4 times in the product
of course, we know k^2 = k·k, so our expression expands to ...
(k^2)^4 = (k·k)·(k·k)·(k·k)·(k·k) = k^8
Once you understand where these rules come from and what exponents mean, I believe it should make more sense.
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
Where is the first term and is the common ratio
We are given the fourth term of this sequence
The common ratio is
Once we find the 1st term then we can find any other term.
So the ninth term of this geometric sequence is
Therefore, the nth term of the geometric sequence is is 32805
A) 15% of $32.00 is $4.80.
B) all together he will be paying $36.80.
i hope this helped, good luck!
Answer
B. a=1, b=-14, c=49