Unit 6 Review: Exponents

Product Rule

100

8n^3*3n^8

24n^11

200

7b*4a^5b^4

28a^5b^5

300

3x^(5/4)y^(3/2)*4x^2y^(1/4)

12x^(13/4)y^(7/4)

400

4x^-5y^9*7x^0y^7

(28y^16)/x^5

500

10m^-13n^18p^17*11m^17n^26

110n^44p^17m^4

Quotient Rule

100

(x^10y^10)/(10x^4)

(x^6y^10)/10

200

(9x^10y^10)/(6x^9y^9)

(3xy^2)/2

300

(4x^(1/2)y^(7/4))/(2x^(3/2))

(2y^(7/4))/x

400

(5m^-2n^-8)/(2m^2n^0)

5/(2m^4n^8)

500

(3xy^2*2x^-2y^3)/(2x^4y^-4)

(3y^9)/x^5

Power Rule

100

(m^8n^9)^6

m^48n^54

200

(3x^2y^9)^5

243x^10y^45

300

(3x^0y^9)^-2

1/(9y^18)

400

(2xy^4)^2*x^4

4x^6y^8

500

(n^3*n^6)/(m^-6n^-2)^-4

n/m^24

Vocabulary

100

What is the base, exponent, and coefficient of the following?

-6x⁷

Base: x 

Coefficient: -6 

Exponent: 7 

200

Which of the following is not a monomial? 

a) -3x²y³

b) -1/9

c) 3x⁴/y

d) x⁹

c

300

Write without using exponents. 

4³x²y⁶z³

4*4*4*x*x*y*y*y*y*y*y*z*z*z

400

Write with using exponents. 

-7*7*7*7*a*a*a*a*a*b*b*b*c*c*c*c*c

-7⁴a⁵b³c⁵

500

Circle/box/underline each set of like terms. 

-7x, 3xy, 8y, 2x, -2x²y, 5xy

-7x and 2x 

3xy and 5xy