the last step is wrong because we multiply the powers in this case we do not subtract them.
we use power subtract in division.
we use power multiplication when we raise to power and the root is power like square root of x

so
![\sqrt[3]{x} = {x}^{ \frac{1}{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20%20%3D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
in our case
this step is wrong
![2x \times \sqrt[3]{ \frac{2}{y} \times \frac{y}{y} }](https://tex.z-dn.net/?f=2x%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B2%7D%7By%7D%20%20%5Ctimes%20%20%5Cfrac%7By%7D%7By%7D%20%7D%20%20)
it should be
![2 x \times \sqrt[3]{ \frac{2}{y} \times \frac{ {y}^{2} }{ {y}^{2} } }](https://tex.z-dn.net/?f=2%20x%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B2%7D%7By%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7By%7D%5E%7B2%7D%20%7D%20%7D%20)
so we get
![2x \times \sqrt[3]{2 {y}^{2} \times \frac{1}{ {y}^{3} } }](https://tex.z-dn.net/?f=2x%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B2%20%7By%7D%5E%7B2%7D%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B%20%7By%7D%5E%7B3%7D%20%7D%20%20%7D%20)
![= \frac{2x}{y} \times \sqrt[3]{2 {y}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B2x%7D%7By%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B2%20%7By%7D%5E%7B2%7D%20%7D%20)

- The name of the circle is <u>IJKL</u>
- The name of central Angle

- The name of the secant = <u>KL</u>
Circle :- It is a round figures, which has no end points.
Central angle :- It the angle ,which lie in the middle of the circle.
- Here, H is the mid point of the circle .So, Angle IHJ is the central angle.
Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .
- Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

- Semicircle = FGH and FIH
- Minor Arc :- FG or GH
- Major Arc :- FHG or GFH
Semicircle :- Semicircle is nothing but the half of the circle.
<u>Here</u><u>, </u><u>In </u><u>second </u><u>diagram </u>
- FGH and FIH are acting as two semicircles which simulatineously forming one circle.
Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.
<u>Here</u><u>, </u>
- FG or GH are the minor arc of the given circle.
Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.
<u>Here</u><u>, </u>
- FHG or GFH is the major arc as it is larger than the semicircle of the given circle .
Answer:
15
Step-by-step explanation:
you have to multiply first because of the order of operations, so 2 × 3 = 6, and 6 + 9 = 15