Samantha leaves her house and drives 18 kilometers east to her friend's house. She then drives north to school. Finally, she dri
ves 30 kilometers directly home, in a straight line, from school. A map of Samantha's route is provided below.
How far does Samantha drive traveling from her friend's house to the school?
A.
42 kilometers
B.
12 kilometers
C.
35 kilometers
D.
24 kilometers
How far does Samantha drive traveling from her friend's house to the school?
A.
42 kilometers
B.
12 kilometers
C.
35 kilometers
D.
24 kilometers
2 answers:
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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
