Algebra 1B Unit 7 Review

Exponents

100

Simplify the following: x⁵  *  x⁸

x¹³, you ADD the exponents

200

Simplify the following:  

x^6/x^3

x³, you SUBTRACT the exponents

300

Simplify the following:  (x⁴)⁷

x²⁸, you MULTIPLY the exponents

400

Simplify the following: 

(x^0y^5)/(x^-4y)

x^4y^4

500

Simplify the following: (4x^-3y⁵z^-7)^-4

(x^12z^28)/(256y^20)

Scientific Notation

100

Put in standard form: 

4.05 • 10^7

40,500,000

200

Put in scientific notation: 0.000000789

7.89 • 10^-7

300

Put in standard form: 

3.6 • 10^-5

0.000036

400

Put in scientific notation: 50,080,000,000

5.008 • 10^10

500

Is the following in scientific notation form? If not, put it in scientific notation.

14.46 • 10^3

NO, 

1.446 • 10^4

Square Roots

100

Simplify. 

√256

16

200

Simplify. 

√300

10√3

300

Simplify. 

√900

30

400

Simplify. 

√148

2√37

500

Simplify. 

√1600

40

Square Roots w/ Variables

100

Simplify.  

√48x^6y^5

4x^3y^2√3y

200

Simplify.  

√121x^3y^12z^7

11xy^6z^3√xz

300

Simplify.  

√400x^3y^5z^7

20xy^2z^3√xyz

400

Simplify.

√216x^4y^12z^20

6x^2y^6z^10√6

500

Simplify.  

-6√81x^4y^7z^3

-54x^2y^3z√yz

Mics.

100

Simplify.  Put the answer in scientific notation. 

(4.9•10^-4)/(2*10^8

2.45*10^-12

200

Simplify.  

(3x^-3y^7z^-8)^4/(7x^-5y^2z^-5)^0

(81y^28)/(x^12z^32

300

Simplify.  Put your answer in scientific notation.

(2.6•10^-8)(4.7•10^11)

1.222•10^4

400

Simplify.  

(-4√(3x^4y^6)^4)/(√36x^4y^8)

-6x^2y^5

500

Simplify.  Write the answer in scientific notation.

(6*10^-5)^3

2.16•10^-13