![\frac{ {a}^{ - 3} }{ {a}^{2}.a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Ba%7D%5E%7B%20-%203%7D%20%7D%7B%20%7Ba%7D%5E%7B2%7D.a%7D%20%20%20)
In the denominator as you can see that the bases are same, Therefore we're gonna add those powers.
something like this:
![= \frac{ {a}^{ - 3} }{ {a}^{2 + 1} } \\ = \frac{ {a}^{ - 3} }{ {a}^{3} }](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B%20%7Ba%7D%5E%7B%20-%203%7D%20%7D%7B%20%7Ba%7D%5E%7B2%20%2B%201%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%20%5Cfrac%7B%20%7Ba%7D%5E%7B%20-%203%7D%20%7D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20)
As we take the numerator to the denominator (when the base is same) then, the powers are turned to negative something like this:
![\frac{1}{ {x}^{3} } \\ = 1 \times {x}^{ -3} \\ = {x}^{ - 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7Bx%7D%5E%7B3%7D%20%7D%20%5C%5C%20%20%3D%201%20%20%5Ctimes%20%7Bx%7D%5E%7B%20-3%7D%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B%20-%203%7D%20)
So we'll do the same thing here,
![{a}^{ - 3} \times {a}^{ - 3}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%203%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7B%20-%203%7D%20)
Bases are same so once again add the powers,
![{a}^{ (- 3 ) + (- 3)}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20%28-%203%20%29%20%2B%20%28-%203%29%7D%20)
and you'll get :
![{a}^{ - 6}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%206%7D%20)
which is the same thing as
The polygon has 11 sides.
The measure each interior angle is 147.272°.
Solution:
The given shape is a regular polygon.
(a) Number of sides of the polygon = 11
The polygon has 11 sides.
(b) To find the measure of each interior angle:
Each interior angle of a regular polygon
![$=\frac{(n-2) \times 180^{\circ}}{n}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%28n-2%29%20%5Ctimes%20180%5E%7B%5Ccirc%7D%7D%7Bn%7D)
![$=\frac{(11-2) \times 180^{\circ}}{11}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%2811-2%29%20%5Ctimes%20180%5E%7B%5Ccirc%7D%7D%7B11%7D)
![$=\frac{9 \times 180^{\circ}}{11}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B9%20%5Ctimes%20180%5E%7B%5Ccirc%7D%7D%7B11%7D)
![=147.272^\circ](https://tex.z-dn.net/?f=%3D147.272%5E%5Ccirc)
The measure each interior angle is 147.272°.
Answer:
Your answer is correct
Step-by-step explanation:
(2^5/4)² = 4^5/2 = √4^5
Answer:
You have the right ones checked. it's A, B, and D
Step-by-step explanation:
It makes it easier to multiply. For example 2*52. It's easier to do 2*50 and then 2*2 and add it together. Product is 104