Properties of Exponents Jeopardy Template

Product Property

Power of a Power

Power of a Product

Negative Exponent

Quotient Property

Power of a Quotient

100

x³x⁹

x¹²

100

(x⁴)²

x⁸

100

(5x)²

25x²

100

p^-3

1/p³

100

x⁵/x²

x³

100

(3/4)^ab

3^ab/4^ab

200

7^a7^4a

7^5a

200

5(x³)⁶

5x¹⁸

200

(2a)³

8a³

200

(9x)^-2

1/(81x²)

200

m²⁷/m⁹

m¹⁸

200

(a/b)^-2

b²/a²

300

b^1/4b^1/4

b^1/2

300

(p²)^2x

p^4x

300

(mn)⁴

m⁴n⁴

300

6^-x

1/6^x

300

9^6x/9^x

9^5x

300

(4/7)^2x

16^x/49^x

400

5^2k5^k+3

5^3k+3

400

(5^x)^7y

5^7xy

400

(-y)⁴

y⁴

400

(6k)^-1

1/6k

400

c^2x+1/c^x+7

c^x-6

400

5(a/b)³

5(a³/b³)

500

x^2ax^5bx^a+b

x^3a+6b

500

(2^x)^(y+1)

2^(xy+x)

500

(x⁴y⁴)^1/2

x²y²

500

(a²b⁴)^-3

1/(a⁶x¹²)

500

(2y)⁸/(2y)²

(2y)⁶=64y⁶

500

(5x/3y)^-2

9y²/25x²