MMSA Math 8 Module 1 Review

Product Rule

100

x^3 * x^6

x^9

200

2x^5 * x^7

2x^12

300

(4f^8)(6f^4)

24f^12

400

(8r^5)(2r^-7)

16/r^2

500

(7s^5p^3)(3s^6p^-5)

(21s^11)/p^2

600

(2/3)^(1/3)*(2/3)^(1/4)

What is 

(2/3)^(7/12)

Power Rule

100

True or false?

(p^8)^2 = p^16

False

200

(x^4)^5

x^20

300

4(y^3)^2

4y^6

400

(xy)^6

x^6y^6

500

(4w^5)^2

16w^10

600

(9x^(1/2)y^(2/3))^(1/2)

What is 

9^(1/2)y^(1/4)x^(1/3)

Quotient Rule

100

x^7/x^3

x^4

200

(2x^6)/(x^5)

2x

300

(8x^10)/(4x^3)

2x^7

400

u^2/u^9

1/(u^7)

500

(4m^4)/(8m^8)

1/(2m^4)

600

(3x^5y^2)^3/(9x^2y^8)

(3x^13)/y^2

Zero and Negative Exponent Rule

100

Any number to the zero power is? ___________

The base cannot be 0

1

200

x^-9

1/(x^9)

300

((x^2y^(-3))/(z^-5w^6))^0

1

400

(v^5)^-8

1/(v^40)

500

(3x^-8)(6x^4)

18/(x^4)

600

11a^2 * 3a^-6

33/a^4

Scientific Notation

100

Is this number written in scientific notation or standard form or neither?

4,300

Standard Form

200

Is this number written in scientific notation? Why or why not?

32 X 10⁷

No, the factor is not between 1 and 10

300

^{Write 45000 in scientific notation.}

4.5 * 10^4

400

Write the number in scientific notation:

0.00062

6.2 X 10^-4

500

Write in standard form:

4.5 X 10⁷

45,000,000

600

^{Write the number in standard form.}

6.248 * 10^(-3)

0.006248

Operations with S.N.

100

^{Write in simplified scientific notation.}

(2*10^3)*(4*10^2)

8*10^5

200

Divide these numbers and write your answer in scientific notation:

(8.4 X 10⁵) / (2.1 X 10²)

4 X 10³

300

Write in simplified scientific notation:

(7.4 X 10⁶) - (2.1 X 10⁵)

7.19 X 10⁶

400

Write in standard form.

(1*10^6)*(12*10^(-6))

12

500

Multiply and write your answer in scientific notation:

(3.5 X 10³) x (4.2 X 10²)

1.47 X 10⁶

600

Add and write your answer in scientific notation:

(4.6 X 10⁸) + (2.5 X 10⁶)

4.625 X 10⁸