Show:
Base and Exponent
Product Rule
Quotient Rule
Power Rule
Expanded Power Rule
Zero Exponent Rule
Simplify and write with positive exponents!
100

Identify the base and exponent:

y^8

base: y     exp: 8

100

Simplify. Write your answer with positive exponents (and no parentheses).

(a^15)(a^14)

a^29

100

Simplify. Write your answer with positive exponents.

x^18/x^12

x^6

100

Simplify. Write your answer with positive exponents (and no parentheses).

(W^6)^3

W^18

100

Simplify using the Expanded Power Rule.

(3xy)^19

3^19x^19y^19

100

Evaluate the expression.

6^0


1

100

(9c)^-4

1/(9^4c^4)

200

Identify the base and exponent:

123

base: 123     exp: 1

200

Simplify. Write your answer with positive exponents.

(2x+1)^8 (2x+1)^6

(2x+1)^14

200

Simplify. Write your answer with positive exponents.

13^14/13^-12

13^26

200

Simplify. Write your answer with positive exponents (and no parentheses).

(3^-11)^-9

3^99

200

Simplify using the Expanded Power Rule.

(9/x)^17

9^17/x^17

200

Evaluate the expression.

(23a-8)^0(-4)

-4

200

w^-11/w^-19

w^8

300

Identify the base and exponent:

(5a-3)^-2

base: 5a-3      exp: -2

300

Simplify. Write your answer with positive exponents.

15^-36*15

1/15^35

300

Simplify. Write your answer with positive exponents.

(9b^8c^5)/(3b^2c^3)

3b^6c^2

300

Simplify. Write your answer with positive exponents (and no parentheses).

(18^15)^-10

1/18^150

300

Simplify using the Expanded Power Rule. Write your answer with positive exponents (and no parentheses).

(8a^5b^-2)^10

(8^10a^50)/b^20

300

Evaluate the expression.

(14^2w^-7y^9)^0

1

300

(28x^-8y^9)/(7x^-7y^-2)

(4y^11)/x

400

Identify the base and exponent:

-32^5

base: 32     exp: 5

400

Simplify. Write your answer with positive exponents (and no parentheses).

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

(-12d)/c^4

400

Simplify. Write your answer with positive exponents (and no parentheses).

((xy)^-10)/((xy)^4)

1/(x^14y^14)

400

Simplify. Write your answer with positive exponents (and no parentheses).

(G^-9)^8

1/G^72

400

Simplify using the Expanded Power Rule. Write your answer with positive exponents (and no parentheses).

((5x^2)/y^-3)^4

5^4x^8y^12

400

Evaluate the expression.

-17^0

-1

400

(64a^3b^-5)/(8a^-2b^6)

(8a^5)/b^11

500

[Double Points]

Simplify the term. Write your answer with positive exponents.

(3x^-9y^4z^0)^3/((9x^2+2x+6)^0 3x^2y^12)

9/x^29

600

[Double Points]

Simplify the term. Write your answer with positive exponents.

(5k^3m^-5n^6)^-5/((15k+1)^0 5^5k^4m^-2)

m^23/(5^10k^19n^30)