ESCAPE FROM PIXEL CASTLE USING EXPONENT RULES
Matt Donegan
Created on February 4, 2024
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Transcript
Escape from pixel CASTLE USing Exponent Rules
Start
While on holiday in unexplored areas of China, you were enjoying a nice cruise down the river. Little did you know, this river belonged to the Pixel King. The punishment for traveling on this river without permission is a lifetime of servitude!....Unless you can answer all his questions, complete his challenges, and collect the coins to buy your freedom! Enter the Pixel Castle!
You must arm yourself with courage and pass the King’s tests. Complete his tasks to get the King's coins so you can pay for your freedom and finally be able to continue your trip. This will test your knowledge of exponents! Complete the challenges to buy your freedom or BE STUCK HERE FOREVER!
Let's Review before we start!
Introduction
Got it! Keep going!
Multipying Exponents Review
Product Rule: When multiplying monomials that have the same base, add the exponents.xm xn = xm+n
Got it! Keep going!
Dividing Exponents Review
Quotient Rule: When dividing monomials that have the same base, subtract the exponents.Example 1: Example 2:
Got it! Keep going!
Raising Exponents Review
Power Rule: When raising monomials to powers, multiply the exponents.Example 1: Example 2:
Fake doors
Gone Fishin'
Dancing stones
Coins
Select MISSION
PIXElrolls
You're not ready yet You must overcome the previous mission in order to continue
You're not ready yet You must overcome the previous mission in order to continue
You're not ready yet You must overcome the previous mission in order to continue
Fake doors
Choose the correct door with the correct simplification of the expression. You must run through them in the correct order to get the coin. Choose the wrong door and you'll have to start over.
Start
Simplify your answer: 2m2 ⋅ 2m3
4m6
4m5
4m-1
Next
You picked the right door
Yeah!
8k4
8k3
8k5
Simplify the expression: 2k4 ⋅ 4k
Next
You picked the right door
Yeah!
x5/y3
Simplify: x2y−4⋅ x3y
x6/y4
x5y4
Next
You picked the right door
Yeah!
4a6
4a5
16a6
Simplify: (4a3)2
Next
You picked the right door
Yeah!
Simplify: (c5)(c3)(c3)
1/c
c11
c45
Next
You picked the correct door!
Yeah!
Simplify:
1/x5
x5/x
x5
Next
You picked the right door
Yeah!
Simplify:1340
1
0
134
Good job!
Getting the King's pixel coin isn't that easy though. Solve the riddle, the answer is the passcode to get to the next page.
Continue
3/3
Good job!
You got one of the four King Pixel coins, three more will be enough to pay for your freedom.
Continue
FAILED
Ouch! What a header, dude.Keep trying.
Try again
FAILED
Ouch! What a header, dude.Keep trying.
Try again
FAILED
Ouch! What a header, dude.Keep trying.
Try again
Fake doors
Gone Fishin'
Dancing stones
Coins
Select MISSION
PIXELrolls
You're not ready yet You must overcome the previous mission in order to continue
You're not ready yet You must overcome the previous mission in order to continue
If you go back to the beginning, you'll lose all progress and have to start all over again
Continue
Exit
Watch out!
1/16x8
16x8
Gone Fishin'
The King's fish have been released into the river. Find all of the King's fish to collect the coin to hopefully buy your freedom. Use the light in the corner to find the correct answer to reel in the correct fish! Choose the wrong fish and you'll be pulled in!
Next
Fish for the correct answers! Use the light to find the correct fish!
Simplify the expression: (2x2)−4
1/16x8
16x8
1/8x8
1/8x16
Fish for the correct answers! Use the light to find the correct fish!
Simplify the expression(2m)5
32m5
32m6
1/32m5
10m5
Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!
Simplify the expression
k2/5
k/5k4
1/5k2
5k2
Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!
Simplify the expression
6y3/x4
x4/6y3
6x-4/y3
6x4y3
Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!
Simplify the expression:(-x3)(-5x)
5x4
x4/5
1/54
6x4
Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!
Simplify the expression:
8/d6
1/8d6
32d6
2/d5
1/16x8
16x8
FAILED
How embarassing! The fish pulled you into the lake! Next time just let go of the pole! All of the fish fell back in with you, start over.
Try again
00:10
1/16x8
16x8
Hurry find and grab the coin before it sinks!
Try again
00:10
1/16x8
16x8
Hurry find and grab the coin before it sinks!
Try again
1/16x8
16x8
Great Job!!! You found the king's coin!
Next Challenge
Fake doors
Gone' Fishin
PIXELrolls
Dancing stones
Coins
Select MISSION
PIXELrolls
Simplify the equations using your exponent rules.
Start
Simplify: (2a2b4z)(6a3b2z5)
1/5
2/5
Simplify:
Simplify (2x4y7)3
3/5
4/5
Simplify:
5/5
Simplify:
5/5
Good job!
Now we will see how well you know velocity-time graphs.
Continue
PIXELrolls part II
Answer the questions about velocity-time graphs and matching the graph to the description correctly to safely jump across. One false step and you're in the water and will need to restart.
Start
Which of the following shows the car moving at a constant velocity?
1/5
2/5
Which of the following shows the car negatively accelerating?
Which one of these graphs is NOT showing negative acceleration?THERE IS A MIX OF V-T AND P-T graphs! BE CAREFUL!
3/5
4/5
Which graph is NOT showing posititve acceleration? THERE IS A MIX OF V-T AND P-T graphs! BE CAREFUL!
5/5
Which graph shows the car accelerating?There are a mix of different graphs, be careful.
5/5
Good job!
Getting the King's coin is not that easy though. Solve the Rebus puzzle below.
Continue
It's as easy as _ _.
It's a delicious dessert.
Search the page for the answer.
3.14159
3.14159...in math is pi
the password to the next page is: apple pie
5/5
Good job!
You got one more of the four King pixel coins, one more will be enough to pay for your freedom.
Continue
FAILED
Ouch! You look like you got soaked
Try again
FAILED
Ouch! You look like you got soaked
Try again
Fake doors
Gone Fishin'
Dancing stones
Coins
Select MISSION
PIXELrolls
Dancing stones
Answer the questions correctly then choose wisely where to step. One wrong step and it's in the water (then back to the start).
Start
Choose the rock to jump on
Come on!
1/5
Simplify:
1/5
Choose the rock to jump on
Come on!
2/5
2/5
Simplify
Choose the rock to jump on
Come on!
3/5
3/5
Simplify:
Choose the rock to jump on
Come on!
4/5
Simplify:
4/5
Choose the rock to jump on
Come on!
5/5
Last one!!! Simplify:
5/5
Good job!
But getting the King's coin is not that easy. His last coin is in the vault. The king is fascinated with math puzzles. Answer his questions to unlock the last coin! The first number is the square root of the square root of 14,641.The second number is the smallest perfect number (click here if you don't know what a perfect number is).The third number is the only natural number that when added or multiplied will equal the same answer.
Click the middle of the safe to enter to the numeric code.
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. Example: 1+2+4+7+14= 28 1x28=28 2x14=28 4x7=28
5/5
Good job!
Looks like you got the 4 coins from the King of Pixel Castle, you have to talk to him to get released
Continue
FAILED
Ouch! You look like you got soaked
Try again
Fake doors
Gone Fishin'
Dancing stones
Coins
use the coins
Select MISSION
PIXELrolls
Let's go!
You can still get to see the sunset on the lake
Yeah!
You've escaped and you're free!
Restart
Now you can enjoy the pleasant view of the lake at dusk and return to your vacation.
YOU'RE NOT READY YETYou must overcome the previous mission in order to continue