Finish the Quote
Product Rule
Quotient Rule
Power Rule
Mixed Problems
100

From the 1977 film Star Wars, Finish this farewell: "May the Force..."

"... be with you."

 

100


Simplify:

5^3 * 5^5

5^8

100

Use the quotient rule for exponents to divide:

7^4 / 7^3


7

100

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

(14^2)^3


14^6

100

Use the exponent rules to simplify:

(x^3)^2 * x^1


x^7

200

As the first man on the moon, Neil Armstrong made his historic statement: "That's one small step for man, one giant  ... "

"... leap for mankind."

200

Use the product rule for exponents to multiply:

x^3*x^2

x^5

200

Use the quotient rule to divide:

(k^3)/( k^2)


k

200

Use the power rule to simplify:

(v^3)^4


v^12

200

Use the exponent rules to simplify:

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


x^2

300

In "The Wizard of Oz," Dorothy famously says, "Toto, I've a feeling we're not ... "

"... in Kansas anymore"

300

Use the product rule for exponents to multiply:

-12k^7 * 4k


-48k^8

300

Use the quotient rule to divide:

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

xy^2

300

Use the power rule to simplify:

(2^3y^4)^3


512y^12

300

Use the exponent rules to simplify:

(2xy^3 * 3xy)^2

Use the exponent rules to simplify:

36x^4y^8

400

Tom Hanks' famous philosophical line from the 1994 film Forrest Gump: "Mama always said life was like a ..."

"...box of chocolates."

400

Use the product rule for exponents to multiply:

x^4 * x^6 * x^-3


x^7

400

Use the quotient rule to simplify:

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

(xy^2)

400

Use the power rule to simplify:

(x^2y^3)^2


x^4y^6

400

Use the exponent rules to simplify:

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

x^11y^16

500

Spoken by Captain Kirk in the original Star Trek series, this phrase is used when the crew is ready to depart: "Beam me up,..."

"...Scotty."

500

Use the product rule for exponents to multiply:

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


34d^4q^4r^5

500

Use the quotient rule for exponents to divide:

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


(x^2 y^2)

500

Use the power rule to simplify:

(yx^2)^4


y^4x^8

500

Use the exponent rules to simplify:

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


2/c^2