Exponent Rules Jeopardy!

More Practice

100

Simplify:

4x^3*5x^2

20x^5

200

Simplify:

-12k^7 * 4k

-48k^8

300

Simplify:

(7y^-2x^2)^4

(2401x^8)/(y^8)

400

Simplify:

17dq^3r^2 * 2d^3qr^3

34d^4q^4r^5

500

Simplify:

-3y^2(y^2+2y-6)

-3y^4-6y^3+18y^2

0 You're the 1 for Me <3

100

[(a^-3b^-3c^-5)/(a^-3b^-3c^8)]^0

1

200

Use the exponents division rule to solve:

x^m /x^m

x^m-m = x^0 = 1

300

Simplify:

4x^3*2x^(-3)y^(2)

8y^2

400

Simplify:

(12a^(4)b^(2)c^(3))/(4a^(4)bc^(3))

Simplify:

3/b

500

Finish this proof:

xⁿ = xⁿ -->

xⁿ * 1 = xⁿ so

1 = xⁿ / xⁿ so

1 = ??????

xⁿ = xⁿ -->

xⁿ * 1 = xⁿ which means

1 = xⁿ / xⁿ so, by using exponent division rules

1 = x^n-n = x⁰

Apartment Hunting

100

Use the quotient rule for exponents to divide:

(8k^3)/( 4k^6)

2/(k^3)

200

Use the quotient rule for exponents to divide:

(x^2y^5)/(xy^7)

x/(y^2)

300

Simplify:

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

4/x^5

400

Use the quotient rule for exponents to divide:

(a^-3b^-3c^-5)/(a^-3b^-3c^8)

1 / (a^6bc^3)

500

Use the quotient rule for exponents to divide:

(3x^10y^9)/(8x^4y^4 * 2x^4y^3)

(3x^2y)/(16)

Graphing

100

Where is the asymptote for

(1/2)*(1/6)^(x+1) -2

At the line:

y = -2

200

Where is the asymptote for:

2^(x+2)

y=0

300

What should be the first test point for: 

(1/2)*(1/6)^(x+1) -2

First test point:

x = -1

400

What is the asymptote AND what should be the first test point for: 

(1/3)^(x+2)

Asymptote at y = 0

First test point x = -2

500

Graph:

(1/2)*(1/6)^(x+1) -2

Desmos Picture

Key points: (-1, -1.5), (-2, 1), (0, -23/12)

Asymptote: at y = -2

Mixed Rules

100

Use the exponent rules to simplify:

(x^3)^2 * x^1

x^7

200

Use the exponent rules to simplify:

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

3x^2

300

Use the exponent rules to simplify:

(4xy^3 * 3x^-4y)^2

Use the exponent rules to simplify:

(144y^8)/(x^6)

400

Use the exponent rules to simplify:

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

9x^11y^16

500

Use the exponent rules to simplify:

(2b^2c^3 * 3bc^5)^3 / (6b^3c^10)

36b^6c^14