ESCAPE FROM PIXEL CASTLE USING EXPONENT RULES

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!

Introduction

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!

Multipying Exponents Review

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

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

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

Yeah!

You picked the right door

Next

Simplify the expression: 2k4 ⋅ 4k

8k4

8k3

8k5

Yeah!

You picked the right door

Next

Simplify: x2y−4⋅ x3y

x5y4

x6/y4

x5/y3

Yeah!

You picked the right door

Next

Simplify: (4a3)2

4a6

4a5

16a6

Yeah!

You picked the right door

Next

Simplify: (c5)(c3)(c3)

c45

1/c

c11

Yeah!

You picked the correct door!

Next

Simplify:

x5

1/x5

x5/x

Yeah!

You picked the right door

Next

Simplify: 1340

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

This page is password protected

Enter the password

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

Select MISSION

PIXEL rolls

Fake doors

Gone Fishin'

Coins

Dancing stones

Watch out!

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

Continue

Exit

Gone Fishin'

16x8

1/16x8

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

Simplify the expression: (2x2)−4

1/8x8

1/16x8

16x8

1/8x16

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

Simplify the expression(2m)5

1/32m5

10m5

32m6

32m5

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

Simplify the expression

1/5k2

5k2

k/5k4

k2/5

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

6x-4/y3

6x4y3

x4/6y3

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

1/54

6x4

x4/5

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

Simplify the expression:

1/8d6

8/d6

32d6

2/d5

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

FAILED

16x8

1/16x8

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

Hurry find and grab the coin before it sinks!

16x8

1/16x8

Try again

00:10

Hurry find and grab the coin before it sinks!

16x8

1/16x8

Try again

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

16x8

1/16x8

Next Challenge

Select MISSION

PIXEL rolls

Fake doors

Gone' Fishin

Coins

Dancing stones

PIXELrolls

Simplify the equations using your exponent rules.

Start

Simplify: (2a2b4z)(6a3b2z5)

1/5

Simplify:

2/5

Simplify (2x4y7)3

3/5

Simplify:

4/5

Simplify:

5/5

Good job!

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

Continue

5/5

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

Which of the following shows the car negatively accelerating?

2/5

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

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

Good job!

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

It's as easy as _ _.

3.14159

It's a delicious dessert.

3.14159...in math is pi

Search the page for the answer.

Continue

5/5

This page is password protected

two words, lower case

FAILED

Ouch! You look like you got soaked

Try again

FAILED

Ouch! You look like you got soaked

Try again

Select MISSION

PIXEL rolls

Fake doors

Gone Fishin'

Coins

Dancing stones

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

Come on!

Choose the rock to jump on

1/5

Simplify:

1/5

Come on!

Choose the rock to jump on

2/5

Simplify

2/5

Come on!

Choose the rock to jump on

3/5

Simplify:

3/5

Come on!

Choose the rock to jump on

4/5

Simplify:

4/5

Come on!

Choose the rock to jump 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.

This page is password protected

Enter the password

FAILED

Ouch! You look like you got soaked

Try again

Select MISSION

PIXEL rolls

Fake doors

Gone Fishin'

Coins

Dancing stones

use the coins

Yeah!

You can still get to see the sunset on the lake

Let's go!

You've escaped and you're free!

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

Restart

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