Exponent Rules Review

Negative Exponents

100

Simplify using only POSITIVE exponents:  

x^-9

1/x^9

200

Simplify using only POSITIVE exponents:

8x^-3

8/x^3

300

Simplify using only POSITIVE exponents:

x^-9*x^-2

1/x^11

400

Simplify using only POSITIVE exponents:

4x^2*3x^-7

12/x^5

500

Simplify using only POSITIVE exponents:

(4x^2z^-2)/(12y^-3m^5)

(x^2y^3)/(3z^2m^5)

Multiplying Powers

100

Simplify:  

8x*3x^2*2x^5

48x^8

200

Simplify:

2xy^3*4x^3y^2

8x^4y^5

300

Simplify:

(-2x^-1)*(9x^-4)

-18/x^5

400

Simplify:

4x^3y^-5 * 2x^-2y^4

(8x)/y

500

Simplify:

-3ab*2a^-1b^-2*4a^-2b^-1

-24/(a^2b^2)

Power to Power

100

Simplify:

(4x)^2

16x^2

200

Simplify:

(9x^2y^3)^2

81x^4y^6

300

Simplify:

(2a^2b^-1)^-3

b^3/(8a^6)

400

Simplify:

(-4mn^-2)^2

(16m^2)/n^4

500

Simplify:

(5x^2y^4)^-2

1/(25x^4y^8)

Dividing Powers

100

Simplify:

(8x^6)/(2x^2)

4x^4

200

Simplify:

(12xy^7)/(24xy)

y^6/2

300

Simplify:

(9x^-5y^2)/(12xy^-3)

(3y^5)/(4x^6)

400

Simplify:

(-10a^-9b^-3)/(2a^-5b^-2)

-5/(a^4b)

500

Simplify:

(8a^-3b^0)/(72a^-8b^-4)

(a^5b^4)/9

ALL Power Rules

100

Simplify:  

4x^0*5

20

200

Simplify:

(2x^-3y^4)/(yx^4)^2

(2y^2)/x^11

300

Simplify:

(a^-3b^2)/(4ab*3ab^-2)

b^3/(12a^5)

400

Simplify:

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

m^9

500

Simplify:

(x^3y^-2*2x^2y^-1)/(xy^3)^2

(2x^3)/y^9