Q: Practice, practice, practice! To improve your singing voice, it is important to practice every day. Think of singing as an exercise for a voice. If you take a long break from exercising, you'll be a sweaty, panting mess next time you try to exercise again. Even if you only have time to practice warm-ups in the car on the way to work, that is okay. If possible, set aside specific times every day for practice. It's best to practice for multiple short sessions than a single long session. For instance, practice from 9-9:15, 11-11:15, and 1-1:15 every day. Instrumentalists may be able to practice for hours at a time, but that isn't the case for singers. An overused, strained voice is not a happy voice. Try to practice anywhere between 30 and s60 minutes a day. You should not practice for more than 60 minutes. If you're feeling ill or tired, give your voice some more downtime. Do not push yourself if you feel that you can't practice for 30 minutes. Spend the time you do practice wisely and intentionally so you can get a lot done within 10-15 minutes. There are also a few at-home vocal training courses out there, such as Singing Success, Sing and See, Singorama, and Vocal Release. They are not as pricey as in-person vocal lessons, but be sure to do your research to see which ones have worked for other singers. If you are dedicated to singing, consider taking professional lessons. Find a vocal coach or qualified voice teacher who can help you become the singer you want to be. Check with your local music store or your school music teacher for trustworthy references. Lessons can be costly. Consider how important singing is to you before signing up for lessons. If you cannot afford a teacher, or do not want the dedication that comes with hiring a professional voice coach, consider joining a local choir. You might associate choirs with church, but you can find them across a number of different organizations. Choirs are a great way to learn about singing and meet cool people who share your love for music at the same time. Keep in mind that you may have to audition to join the choir. Relax, and do your best. You've got this! Record yourself singing and save the recording. Then, work on your voice consistently over the next 3 months. After that time, record yourself singing the same song and compare the 2 recordings. You'll be able to see where you've improved and what you still need to work on.
A: Set aside daily time for singing. Practice for a short amount of time. Purchase an at-home singing course. Take lessons from a professional. Join a local choir. Check your progress over time.

Q: If you have a fraction for the index of a radical, get rid of that too. For instance the (2/3) root of 4 = sqrt(4)^3 = 2^3 = 8. This only applies to constant, rational exponents. If you have terms like 2^x, leave them alone, even if the problem context implies that x might be fractional or negative. pressions that result.
A: Find any fractional exponent and convert it to the radical equivalent, namely x^(a/b) = bth root of x^a Convert negative exponents to their equivalent fraction, namely x^-y = 1/x^y and simplify any rational expressions that result.

Q: Although being a third wheel is probably not your idea of a good time, and possibly a little demoralizing, with the right mental framework you can make it a positive experience. One easy way to do that is to act like you are having a good time and not be a downer. Be chatty and engaging. Try buying a round of drinks. If you act like you are having fun, you might find that you are actually having a good time. Instead of focusing on the fact that you are a third wheel, try focusing on your friend's relationship. Think of your role as providing moral support for your friend and their love life. If you understand your role as being supportive in nature, being a third wheel might become less of a chore. The easiest way to make being a third wheel not fun is to make it awkward. Try not to constantly refer yourself as a "third wheel" and lament your singleness. Be sure to avoid wallowing in your self-pity and making things uncomfortable for the couple you are with. If you can do it, limit how often you talk about being single. Instead, try to discuss things that you all have in common. Although it is typically considered rude to be on your phone when spending time with others, it might be a lifesaver in a third wheel situation. You can use your phone to invite another friend to where you are. It can also serve as a nice distraction from the couple. Try not to be rude but, if your couple friends are ignoring you, your phone might save the day. A phone can give you some distance from the romantic couple, even if it isn't physical distance. The worst case scenario for being a third wheel is that the people you are with start getting hot and heavy with each other. If you are out with a couple and they start making out or doing things that make you uncomfortable, you should definitely let them know about it. Ask them to stop and, if they do not, get out of there. That is really inappropriate and you might want to reconsider hanging out with them in the future. If you still feel uncomfortable or if your friends seem to want privacy, perhaps it is best to leave. If you can't, just get on your phone and text a friend or play a game. Being on your phone will make you feel more occupied and comfortable. However, don't pull out your phone unless if you've absolutely given up on the situation; it can be seen as an uninviting gesture. If you want to give them time alone for a little while, you can simply say something like, "I'll give you guys some privacy," and leave the immediate area for a bit. If you find yourself invited to something where you know that you will be a third wheel, try to bring along someone else. Find someone, be it a friend or relative, who you can bring along to chat with. This way, no third wheel dynamics develop and you do not feel like the outsider. Be sure to make plans ahead of time. If you invited someone at the last second, they will likely say no. If you find yourself in a third wheel situation and it is miserable, just get out of there. Say that you are not feeling very well or that you have some other obligation. You could also just be honest and say that you are not having much fun. Regardless, bail on being a third wheel and go somewhere else. Find out where your single friends are and go hang out with them.
A:
Act positively. Be supportive. Try not to make things awkward. Bring your phone. Let them know if you feel uncomfortable. Invite someone else. Go somewhere else.