# 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

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