Algebra Unit 1 Test Review

Simplifying radicals

100

simplify √63

√9 x 7= √9 x √7=3√9

200

2√50=

2√50= 2√25 = 2 x 5 √2= 10√2

300

3√32=

3√32= 3√16√2

          16=4  

         4  x 4

      3 x 4 √2 = 12√2

  

Negative exponents

100

a^-n

a^-n= 1/a^n

200

2^-3

2^-3= 1/2^3=1/8

300

5^-2

1/5^-2=1/5^2=1/25

Products of Power

100

a^3 x a^2=

a^3 x a^2= a^(2+3)=a^5

200

x^-5  x  x^4=

a^(-5+4)=a=^-1

Quotient of Power

100

a^6/a^4=

a^6/a^4= a^(6-4)=a^2

200

m^9/ m^13=

m^9/m^13=m^(9-13)=m^-4=1/m^4

Power of Products

100

(2ab)^3=

(2ab)^3= 2^3 x a^3 x b^3= 8a^3b^3

200

(3xyz)^2

(3xyz)^2=3^2 x^2 y^2 z^2= 9x^2y^2z^2