The base is the big number in an exponential expression. You can only use this method when you are presented with an equation that has an exponent on either side, and each exponent has the same base. For example, 65+y=63{\displaystyle 6^{5+y}=6^{3}} has an exponent on either side of the equation, and each exponent has the same base (6). Since the exponents are equal and have the same base, their exponents must be equal. As such, you can ignore the base and write an equation for the exponents only. For example, in the equation 65+y=63{\displaystyle 6^{5+y}=6^{3}}, since both exponents have the same base, you would write an equation for the exponents: 5+y=3{\displaystyle 5+y=3}. To do this, you need to isolate the variable. Remember that whatever you do to one side of an equation, you must do to the other side of the equation. For example:5+y=3{\displaystyle 5+y=3}5+y−5=3−5{\displaystyle 5+y-5=3-5}y=−2{\displaystyle y=-2} To make sure that your answer is correct, plug the value you found for the variable back into the original equation, and simplify the expression. The two sides should be equal. For example, if you found that y=−2{\displaystyle y=-2}, you would substitute −2{\displaystyle -2} for y{\displaystyle y} in the original equation:65+y=63{\displaystyle 6^{5+y}=6^{3}}65−2=63{\displaystyle 6^{5-2}=6^{3}}63=63{\displaystyle 6^{3}=6^{3}}

Summary: Determine whether the two exponents have the same base. Ignore the base. Solve the equation. Check your work.


If you used the password which came with the router when initially setting it up, you can usually find the password by checking the router or its documentation. If you changed the router password at any point in the time you've owned the router, you'll need to use a different method. Most manufacturers place the router's password on a sticker that's on the back or the bottom of the router unit.  The password is usually near the "SSID" heading. In most cases, the password will be a long string of letters and numbers, both upper-case and lower-case. In the unlikely event that you still have the router's original packaging and manual, you may be able to find a copy of the login sticker inside the packaging, listed in the manual (or on the back of it), or on a separate card which was included with the router. This is only necessary if you can't find the stock password on your router. Unfortunately, you cannot look online for your router's documentation, as your router's password is unique to your model. Most routers allow you to connect by pressing a "WPS" button on the back of the router and then selecting the network on your computer, mobile item, console, or entertainment unit. As long as you select the network within 30 seconds or so, this will allow you to connect your computer (or other item) without need to know the password.  Not all routers have this feature, so check your model's included (or online) documentation for a WPS (or Wi-Fi Protected Setup) feature. This step won't help you figure out the Wi-Fi password, but it will allow you to connect to the Internet on the connected item, which can help you find the password using one of the other methods listed below.

Summary: Determine whether you used the router's stock password. Check the router unit for the password. Look for the password in the router's manual or box. Consider using your router's bypass to connect.


You'll want to do a bit of prep work before discussing a sleepover with your parents. Sometimes, a "show don't tell" approach works best. Consider spending a few days showing your parents you're responsible. If your parents see you're maturing, they might be more willing to allow you to have extra freedom.  Most parents expect that kids will reach a point where they crave more independence. However, understand parents have worries themselves. They will want to make sure they know where you are at all times. You can ease some of their potential anxiety by showcasing your growing maturity and independence. Do your chores without being asked. Complete your homework as soon as you get home from school. Be upfront about what's happening in your day-to-day life by sharing details about school and your social life without prompting. Use "please" and "thank you" at the dinner table. After showing your parents your increasing maturity, pick a time to talk about the sleepover. Choose a time that's flexible and works for both you and your parents. That is, don't bring up the issue at 11 o'clock at night when you know your parents have to be up for work in the morning. Instead, bring it up a little after dinner on a weeknight.  Try to be as mature as possible when bringing up the subject. Say something courteous like, "Mom, Dad, I wanted to talk to you about something that's been on my mind." Remember your manners as this will impress your parents. Try something like, "Could we please have a talk after dinner tonight?" Your parents may react negatively if you bring up other people's families, your friends, or your siblings. Keep your focus on yourself and your situation.  You may be tempted to say something like, "Miranda's parents are letting her go!" or "You let Jamie go to sleepover's when he was my age." Such statements are likely to rub your parents the wrong way. It's irrelevant what other people are doing. Your parents have made rules with your specific needs and safety in mind.  Talk about yourself and the reasons you are mature enough to attend a sleepover. Point to things like your grades and your behavior. Say something like, "I usually get decent grades and I stay out of trouble. I feel like you should have some trust in me." You can also explain to your parents why you want to go to the sleepover. Try something like, "I really like hanging out with Sophie and her friends at school. I feel like it would be a lot of fun hanging out with them outside of the classroom and this is a good opportunity." Parents usually want to know where you are, what you're doing, and who you're with. Withholding this information could make your parents less likely to grant you permission to attend a sleepover. Be upfront about where the sleepover is, who will be there, and what events and activities will take place. Your parents will feel a lot more comfortable granting you permission if they know exactly what's going on. If your parents still say "No," it can be helpful for you to ask them why. Try not to yell or get frustrated as this can result in an argument. Instead, ask what their main concerns are. Wait a few days until you've both cooled down and you've had time to figure out how to address these concerns. Then, bring the event up again and see if the discussion goes over any better.
Summary: Show your parents you are responsible. Pick a time to talk. Focus on the present situation. Share the necessary details of the event. Ask why if your parents say no.