Answer:
1/a²⁷
Step-by-step explanation:
Given: 
We know that when the bases are same the powers can be added. i.,e.,
(xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾
⇒ 
Also, 
This is nothing but,
.
Note that
cannot be zero here. The condition is provided in the question as well.
Answer:
-10, -3, 5, 14
Am not sure if this is correct
Answer:
75.44 Square Inches
Step-by-step explanation:
The diagram of the problem is produced and attached.
To determine the area of the cleaned sector:
Let the radius of the larger sector be R
Let the radius of the smaller sector be r
Area of the larger sector 
Area of the smaller sector 
Area of shaded part =Area of the larger sector-Area of the smaller sector

From the diagram, R=10 Inch, r=10-7=3 Inch, 
Therefore, Area of the sector cleaned

Answer:
-1/2
Step-by-step explanation:
Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.
With that being said:
sin^2 30 - cos^2 30
= (1/2)^2 - ((sqrt3)/2)^2
= 1/4 - 3/4
= -1/2