AAL2 Exponent Properties Review

Product Properties

100

8*8*8*8*8

8^5

200

x^7 * x^5

x^12

300

(x^3)^6

x^18

400

(7x^3y)^2

49x^6y^2

500

(2x^3y^2)^3 * 3xy

24x^10y^7

Quotient Properties

100

Simplify.

4^6/4^3

4^3

200

Evaluate.

5^9/5^5

625

300

x^28/x^21

x^7

400

(6^3x^8)/(6x^2

36x^6

500

(34x^7y^3)/(2x^6y)

17xy^2

Zero/Negative Exponents

100

150^0

1

200

Evaluate.

3^-3

1/27

300

Evaluate.

12^4/12^6

1/144

400

(9x^3)/x^-5

9x^8

500

(3y^-2 * x^0)/(6y^-4

1/2y^2 or y^2/2

Combination

100

8^-2*a^3*a^2

a^5/64

200

(8x^3)/(2x^9)

4/x^6

300

((3t)^2)/(9t)

t

400

(12x^-1 * 4^-2 * y^3)/(x^2 * y^5)

3/(4x^2y^3)

500

List all 6 exponent properties by name.

Product Rule

Power of a Product

Product of a Power

Quotient Rule

Zero Exponent Rule

Negative Exponent Rule

Powers of Powers

100

Simplify the expression (2⁴)² = ?

2⁸

200

(y^3/x^2)^4

y^12/x^8

300

Simplify the expression. 

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

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

400

Simplify the expression. (9x⁸)¹²

9¹²x⁹⁶

500

Simplify the expression. (2x³y²z)¹²

2¹²x³⁶y²⁴z¹²