How to solve for y 3y=2x+15
1 answer:
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Answer:
256
Step-by-step explanation:
A calculator works well for this.
_____
None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256
Let 
. Then
Meanwhile, since
, you have 
.
It follows that
, 
, and 
, so that the quadratic fit for that satisfies the given points is
Note that this is just the second-order Taylor polynomial for
about 
.
Meanwhile, since
It follows that
Note that this is just the second-order Taylor polynomial for