Evaluate the following expression. (81)0
2 answers:
Answer:
The value is 1
Step-by-step explanation:
Given the expression
we have to evaluate the above expression.
The zero exponent rule basically says that any base with an exponent of zero is equals to one.
For example:
Expression:
In the above expression 81 is the base with an exponent of 0.
Hence, the value is 1 i.e
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The exact measure of the angle is 45°.
<h3>How to get the angle?</h3>
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
Answer:
a = 12
b = 2
c = 11
Step-by-step explanation: