Exponent Properties Math 2

Same Bases Multiplication

100

x^3x^5

x⁸

200

x²x⁴x^-1

x⁵

300

x²y⁷(xy^-4)

x³y³

400

x^3x^-5∙x

x^-1

500

5a^3∙3b^7∙(-2a^5)

-30a⁸b⁷

Same Bases Division

100

x^19/x^11

x^8

200

x^7/x^-12

x^19

300

(7/x^3)^-2

x^6/49

400

(x^(2/3)/5)^3

x^2/125

500

(8a^5b^3)/(2a^8b)

(4b^2)/a^3

Power to a Power

100

(x^2)^3

x^6

200

(x^3)^-4

1/x^12

300

(((x^2)^3)^-1)^-4

x^24

400

(2x^4)^3x^-15

(8x^12)/x^15

500

(a^(1/3)b^2)^6(ab)^-4

b^8/a^2

Radical Rules

100

Write in radical form

x^(3/5) 

root5(x^3

200

write in radical form 

2x^(2/5) 

2root5(x^2)

300

Write in radical form 

(x^7)^(1/2)

root2(x^7)

400

Write in exponent form

root8(a^6)

a^(3/4)

500

turn into radical form 

(xyz)^(7/13)

root13((xyz)^7