Exponent Rules Jeopardy!

Negative Exponents

100

Write as a postive exponent,   x^-5

1/x⁵

200

Evaluate as a positive exponent.

3^-3

1/27

300

Simplify so that there are no negative exponents.

2xy^-4

2x/y⁴

400

Simplify so that there are no negative exponents.

x^-8 * x⁵

1/x³

500

xy^-2/2z^-4

xz⁴/2y²

Multiply

100

Simplify:

5^3 * 5^5

5^8

200

Use the product rule for exponents to multiply:

4x^3*5x^2

20x^5

300

Use the product rule for exponents to multiply:

-12k^7 * 4k

-48k^8

400

Use the product rule for exponents to multiply:

x^4 * x^3 * x^2

x^9

500

Use the product rule for exponents to multiply:

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

34d^4q^4r^5

Divide

100

Use the quotient rule for exponents to divide:

7^4 / 7^3

7

200

Use the quotient rule to divide:

(k^3)/( k^2)

k

300

Use the quotient rule to divide:

(x^2y^5)/(xy^3)

xy^2

400

Use the quotient rule to simplify:

(x^2y^4)/(xy^2)

(xy^2)

500

Use the quotient rule for exponents to divide:

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

(x^2 y^2)

Power

100

Use the power rule to simplify (leave as exponent):

(14^2)^3

14^6

200

Use the power rule to simplify:

(v^3)^4

v^12

300

Use the power rule to simplify:

(2^3y^4)^3

512y^12

400

Use the power rule to simplify:

(x^2y^3)^2

x^4y^6

500

Use the power rule to simplify:

(yx^2)^4

y^4x^8

Mixed Problems

100

Use the exponent rules to simplify:

(x^3)^2 * x^1

x^7

200

Use the exponent rules to simplify:

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

x^2

300

Use the exponent rules to simplify:

(2xy^3 * 3xy)^2

Use the exponent rules to simplify:

36x^4y^8

400

Use the exponent rules to simplify:

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

x^11y^16

500

Use the exponent rules to simplify:

(4b^2c^3 * 3bc^5) / (6b^3c^10)

2/c^2