Chapter 6 Review

Laws 1,2,3

100

Simplify the following expression:

3c⁴ × 2c³

6c⁷

200

Simplify the following expression:

(8d^5)/(2d^3)

4d²

300

Simplify the following expression and write the coefficient as a numeral, not an exponent.

(2k^3)^3

8k⁹

400

Using a combination of index laws, simplify the following expression. Write the coefficient as a number, not an exponent.

((6n^2p^3)^2)/(3np^2)

12n³p⁴

500

Simplify the following expression:

(4t^3u^8)/((2t^2u)^3*(t^4u^2)^2

(u)/(2t^11)

Laws 4,5

100

Simplify the following expression:

(b^5c^3)^3

b^15c^9

200

Simplify the following expression, leaving numbers in numerical form, not index form:

((4)/d^6)^2

 

16/(d^12

300

Simplify the following expression:

((dg^7)/(d^5g^2))^4

(g^20)/(d^16)

400

Find the value of x that makes this statement true.

(3n^x)^4=81n^20

x=5

500

Find the values of x and y that makes this statement true.

((3t^8u^x)/2)^y=(27t^24u^12)/8

x = 4

y = 3

Negative Indices, Zero Power

100

Simplify the following expression:

4c^0

4

200

5+5=

5+5=10

300

20+10=

20+10=30

400

500+400=

500+400=900

500

5,000+3,000=

5,000+3,000=8,000

Scientific Notation

100

7-5=

7-5=2

200

20-10=

20-10=10

300

50-30=

50-30=20

400

500-70=

500-70=430

500

5,555,333-300=

5,555,333-300=5,555,033

Worded problems

100

Zack has 5 more crayons then Matthew, Matthew has 3 more crayons then Vito. If Vito has 50 crayons how many crayons does Zack have?

Zack has 58 crayons.

200

A kid has 5 lolly pops. He gets 3 more how many lolly pops does the kid have?

The  kid has 8 lolly pops.

300

Alvin has 8 candies he gives 6 candies to his friends, how many candies does Alvin have left?

Alvin has 2 candies left.

400

If you have 87 treats and give 8 treats to your friends how many treats do you have left?

You will have 79 treats left.

500

Olivia has 5 times more candy then her friend, her friend has 6 candies how much candy does Olivia have?

Olivia has 30 candies.