Problem: Write an article based on this summary: Examine the fraction. Rewrite the denominator in terms of exponents. Multiply the top and bottom by something that makes the exponent in the denominator 1. Simplify as needed.

Answer: You can also expect to face cube roots in the denominator at some point, though they are rarer. This method also generalizes to roots of any index. 333{\displaystyle {\frac {3}{\sqrt[{3}]{3}}}} Finding an expression that will rationalize the denominator here will be a bit different because we cannot simply multiply by the radical. 331/3{\displaystyle {\frac {3}{3^{1/3}}}} In our case, we are dealing with a cube root, so multiply by 32/332/3.{\displaystyle {\frac {3^{2/3}}{3^{2/3}}}.} Remember that exponents turn a multiplication problem into an addition problem by the property abac=ab+c.{\displaystyle a^{b}a^{c}=a^{b+c}.}  331/3⋅32/332/3{\displaystyle {\frac {3}{3^{1/3}}}\cdot {\frac {3^{2/3}}{3^{2/3}}}} This can generalize to nth roots in the denominator. If we have 1a1/n,{\displaystyle {\frac {1}{a^{1/n}}},} we multiply the top and bottom by a1−1n.{\displaystyle a^{1-{\frac {1}{n}}}.} This will make the exponent in the denominator 1. 331/3⋅32/332/3=32/3{\displaystyle {\frac {3}{3^{1/3}}}\cdot {\frac {3^{2/3}}{3^{2/3}}}=3^{2/3}} If you need to write it in radical form, factor out the 1/3.{\displaystyle 1/3.} 32/3=(32)1/3=93{\displaystyle 3^{2/3}=(3^{2})^{1/3}={\sqrt[{3}]{9}}}


Problem: Write an article based on this summary: Purchase colored camera skins to camouflage your camera outdoors. Hide your camera in trees or bushes for an easy, free hiding spot. Install cameras at your front and back doors to guard your entryways. Place security cameras at off-street windows for extra protection.

Answer: Many companies make Nest camera accessories to conceal its appearance. These are usually silicone skins that wrap around the outside of your camera. The skins come in a variety of colors, including camouflage, white, black, and brown, to blend into a variety of backgrounds. Place your camera inside your bush or tree, securely perched on a branch so it doesn’t fall. You can cover some leaves around the camera so it’s even more discreet. You can also use a tripod mount and wrap it around a branch for a more secure hold. Place your camera in off-street trees and bushes, if you would like to record unobserved areas. Find a spot above your doors where your camera’s view will not be obstructed, and drill the mounting plate into your wall. Attach your camera to the mounting plate, and check to make sure you can see well both in daylight and nighttime. You can put your Nest camera at both your front and back doors, or one or the other. Consider your vulnerable areas before you install your camera. Tuck these in corners so they go unnoticed at first glace. Common break-in locations include rear windows, so the burglar cannot be seen from the street. Drill the mounting plate above a window outside so you can record areas that otherwise may go unseen. You can also hide your camera near your off-street garage or driveway, if you think intruders would go back there.


Problem: Write an article based on this summary: Tug the outside of your ear while tilting your head. Create a vacuum with your hand to release the fluid. Relieve the pressure with a gentle Valsalva maneuver. Pinch your nose and yawn to force the fluid down your throat. Lie down with your affected ear turned downward. Chew on gum or food. Loosen the fluid with steam treatment.

Answer: Point your affected ear down to the ground. Tug on your earlobe and the outer cartilage in different directions to open up your ear. You may feel the fluid drain out. Repeat if needed on the other ear. This is a good way to get rid of water after swimming or a shower. Place the palm of your hand tightly over your ear. Press down a few times before removing your hand. Tilt your ear down so that the water can drain out. Take a breath and hold it. Plug your nose with 2 fingers, and force air up the Eustachian tubes in your ears by blowing. You should feel a pop if it works. Tilt your head downward, with the affected ear facing toward the ground to let the fluid drain out.  Do not do this if you think you have an ear infection. Be gentle as you blow. If you blow too hard, you may cause a nosebleed. Hold your nostrils closed with your fingers. Take a few deep yawns in a row. This may cause the fluid to slide back down your throat, removing it from your ears. Rest on your side, with the affected ear down against a towel, pillow, or cloth. After a few minutes, the ear may start to drain. You can even take a nap or try this overnight as you sleep. Chewing often opens up the Eustachian tubes.   Tilt your head as you chew to encourage fluid to drain from your ears. If you don’t have any gum or food on you, try just pretending to chew. You can also try sucking on a hard candy to get the same effect. Sometimes, a long, hot shower is enough to loosen the fluid in your ear. However, if not, a simple steam treatment may thin the fluid, making it easier to drain. Pour hot water into a bowl. Lean over the bowl and drape a towel over your head. Inhale the steam for 5-10 minutes. Then tilt your affected ear to the side to let the fluid drain out.


Problem: Write an article based on this summary: Open the motor of your Power Wheels car. Check the compatibility of your Power Wheels motor. Insert a solder-free spade connector to the pin of the brushless motor. Insert the brushless motor back into the Power Wheels hardware. Attach the wires to the brushless motor. Thread the wheels back onto your Power Wheels car and test.

Answer:
Flip your car upside down and remove the wheels to access the black motor hardware. Remove the motor by loosening the screws using the proper screwdriver, and wiggling the cylinder-shaped motor until it comes free. Ensure that the new motor that you have chosen is the correct size for your Power Wheels. Remove the brushless motor from your secondary car. It will be cylinder shaped and you may need to remove some hardware to expose the motor. Wipe the motor clean with a dry rag to remove any buildup of dirt. You may be able to salvage the spade off of the Power Wheels motor by heating it gently and applying some pressure with a flathead screwdriver. If you can’t remove it, purchase an inexpensive spade from your local hardware store rather than potentially ruining the already-connected spade and the actual motor itself. Gently push the motor in spade-end first. Using your screwdriver, put the screws back into the hardware to hold the battery in place. The brushless motor may need some twisting and turning until it is solidly inserted so be patient and don’t try to force it. Carefully unwrap the wires from the original motor and re-attach them to the brushless motor following the same connecting points. At this point, a new battery could also be inserted if desired. Disconnect the battery to avoid getting shocked. Your car should be compatible with the remote from the brushless motor. Keep the car upside down as you test to be cautious, as the speed will be greatly increased.