Math 8SL Unit 2 Review

Exponent Forms

100

3 x 3 x 3 x 3 x 3 x 3

3⁶

200

n x n x n

n³

300

n x n x m x m

n²m²

400

8 x 8 x 8 x 8

8⁴

500

3 x 3 x n x n

9n²

Product Rule

100

Simplify with only positive exponents:

a^4*a^2

a^6

200

Simplify with only positive exponents:

x^8*x^-3

x^5

300

Simplify with only positive exponents:

5x^4*7x^3

35x^7

400

Simplify with only positive exponents:

(-9k^3)(2k^-8)

-18/k^5

500

Simplify with only positive exponents:

(-7c^-3d)(-4c^8d^-2)

(28c^5)/d

Quotient Rule

100

Simplify with only positive exponents:

a^12/a^4

a^8

200

Simplify with only positive exponents:

x^5/x^12

1/x^7

300

Simplify with only positive exponents:

(m^-2n^16)/(m^4n^2)

n^14/m^6

400

Simplify with only positive exponents:

(28xy^-4)/(4x^-5y)

(7x^6)/y^5

500

Simplify with only positive exponents:

(-21x^5y)/(12x^6y)

-7/(4x)

Power Rule

100

Simplify with only positive exponents:

(x^9)^3

x^27

200

Simplify with only positive exponents:

(cd^2)^4

c^4d^8

300

Simplify with only positive exponents:

(m^-2n^8)^3

n^24/m^6

400

Simplify with only positive exponents:

(4w^7)^3

64w^21

500

Simplify with only positive exponents:

(1/3r^2s^-5)^2

r^4/(9s^10)

Miscellaneous Monomial Madness

100

Simplify with only positive exponents:

(6w^7)^2/(4w^11)

9w^3

200

Simplify with only positive exponents:

(4r^8s)^3+2r^24s^3

66r^24s^3

300

Simplify with only positive exponents:

14pq-(18p^-3q^8)/(2p^-4q^7)

5pq

400

Simplify with only positive exponents:

-9x^8y^3*4x^-2y^11+7x^6y^14

-29x^6y^14

500

Simplify with only positive exponents:

(36m^25n^14)/(4m^7n^5)^3

(9m^4)/(16n)