ESCAPE FROM PIXEL CASTLE USING EXPONENT RULES

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Escape from pixel CASTLE USing Exponent Rules

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!

Introduction

Let's Review before we start!

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!

Product Rule: When multiplying monomials that have the same base, add the exponents. xm xn = xm+n

Multipying Exponents Review

Got it! Keep going!

What do you do with exponents when multiplying monomials w/same base?

one word, lower case

What do you do with exponents when dividing monomials w/the same base?

one word, lower case

What do you do with exponents of monomials being raised to powers?

one word, lower case

Start

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.

Fake doors

4m-1

4m5

4m6

Simplify your answer: 2m2 ⋅ 2m3

Yeah!

You picked the right door

Next

Simplify the expression: 2k4 ⋅ 4k

8k5

8k3

8k4

Yeah!

You picked the right door

Next

x5y4

x6/y4

Simplify: x2y−4⋅ x3y

x5/y3

Yeah!

You picked the right door

Next

Simplify: (4a3)2

16a6

4a5

4a6

Yeah!

You picked the right door

Next

c45

c11

1/c

Simplify: (c5)(c3)(c3)

Yeah!

You picked the correct door!

Next

x5

x5/x

1/x5

Simplify:

Yeah!

You picked the right door

Next

134

Simplify: 1340

Continue

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.

Good job!

This page is password protected

Enter the password

Try again

Ouch! What a header, dude.Keep trying.

FAILED

Try again

Ouch! What a header, dude.Keep trying.

FAILED

Try again

Ouch! What a header, dude.Keep trying.

FAILED

PIXEL rolls

Select MISSION

Coins

Dancing stones

Gone Fishin'

Fake doors

Watch out!

Exit

Continue

If you go back to the beginning, you'll lose all progress and have to start all over again

Next

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!

Gone Fishin'

16x8

1/16x8

1/8x16

1/8x8

16x8

1/16x8

Simplify the expression: (2x2)−4

Fish for the correct answers! Use the light to find the correct fish!

10m5

1/32m5

32m6

32m5

Simplify the expression(2m)5

Fish for the correct answers! Use the light to find the correct fish!

5k2

1/5k2

k/5k4

k2/5

Simplify the expression

Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!

6x4y3

6x-4/y3

x4/6y3

6y3/x4

Simplify the expression

Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!

6x4

1/54

x4/5

5x4

Simplify the expression:(-x3)(-5x)

Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!

2/d5

32d6

1/8d6

8/d6

Simplify the expression:

Fish for the correct answers! Use the light to find the correct answer and click on the fish that appears!

Try again

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.

FAILED

16x8

1/16x8

Try again

Hurry find and grab the coin before it sinks!

16x8

1/16x8

00:10

Try again

Hurry find and grab the coin before it sinks!

16x8

1/16x8

00:10

Next Challenge

Great Job!!! You found the king's coin!

16x8

1/16x8

Select MISSION

Coins

Dancing stones

PIXEL rolls

Gone' Fishin

Fake doors

Start

Simplify the equations using your exponent rules.

PIXELrolls

1/5

Simplify: (2a2b4z)(6a3b2z5)

Simplify:

2/5

3/5

Simplify (2x4y7)3

Simplify:

4/5

Simplify:

5/5

Continue

Now we will see how well you know velocity-time graphs.

Good job!

5/5

Start

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.

PIXELrolls part II

1/5

Which of the following shows the car moving at a constant velocity?

Which of the following shows the car negatively accelerating?

2/5

3/5

Which one of these graphs is NOT showing negative acceleration? THERE IS A MIX OF V-T AND P-T graphs! BE CAREFUL!

Which graph is NOT showing posititve acceleration? THERE IS A MIX OF V-T AND P-T graphs! BE CAREFUL!

4/5

Which graph shows the car accelerating? There are a mix of different graphs, be careful.

5/5

3.14159...in math is pi

3.14159

Search the page for the answer.

It's a delicious dessert.

It's as easy as _ _.

Continue

Getting the King's coin is not that easy though. Solve the Rebus puzzle below.

Good job!

5/5

This page is password protected

two words, lower case

Try again

Ouch! You look like you got soaked

FAILED

Try again

Ouch! You look like you got soaked

FAILED

PIXEL rolls

Select MISSION

Coins

Dancing stones

Gone Fishin'

Fake doors

Start

Answer the questions correctly then choose wisely where to step. One wrong step and it's in the water (then back to the start).

Dancing stones

1/5

Come on!

Choose the rock to jump on

1/5

Simplify:

2/5

Come on!

Choose the rock to jump on

Simplify

2/5

3/5

Come on!

Choose the rock to jump on

Simplify:

3/5

4/5

Come on!

Choose the rock to jump on

4/5

Simplify:

5/5

Come on!

Choose the rock to jump on

5/5

Last one!!! Simplify:

Click the middle of the safe to enter to the numeric code.

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.

Good job!

This page is password protected

Enter the password

Try again

Ouch! You look like you got soaked

FAILED

PIXEL rolls

Select MISSION

use the coins

Coins

Dancing stones

Gone Fishin'

Fake doors

Yeah!

You can still get to see the sunset on the lake

Let's go!

Now you can enjoy the pleasant view of the lake at dusk and return to your vacation.

Restart

You've escaped and you're free!

YOU'RE NOT READY YET You must overcome the previous mission in order to continue