Describe how (2^3) (2^-4)can be simplified.
2 answers:
Answer:
Step-by-step explanation:
The given expression is:
As from the given expression, we cab see that teh base is same that is but the powers are different. Therefore, using the property of powers and exponents that is if base is same then the powers gets added, thus the expression becomes
=
=
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which is the required simplified form of the given expression.
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Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
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Step-by-step explanation:
9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D