Problems: Positive Only
Problems: Negative Exponents
Challenge Problems: Double Points!
Rules
Miscellaneous
100

r^7*r^3=

r^7*r^3=r^10

100

g^5*g^-2=

g^5*g^-2=g^3

100

x^5*x^-3=

x^5*x^-3=x^2

100

x^0=

Anything to the power of zero is...

x^0=1

Anything to the power of zero is 1!

100

Name the five boroughs of New York City in alphabetical order!

Bronx, Brooklyn, Manhattan, Queens, Staten Island (in that order!)

200

h^7/h^2=

h^7/h^2=h^5

200

1/(x^-12)=

1/(x^-12)=x^12

200

sqrt(x^2)=

sqrt(x^2)=x

200

x^(a)*x^(b)=

When we multiply two exponents of the same base, we...

x^a*x^b=x^(a+b)

When we multiply two exponents of the same base, we add the exponents up!

200

The highest level of Math offered in high school is...

The highest level of Math offered in high school is Calculus!

Double points if you said AP Calculus BC.

300

(g^2)^7=

(g^2)^7=g^14

300

(s^-3)^-4=

(s^-3)^-4=s^12

300

y^5/y^-3=

y^5/y^-3=y^8

300

(x^a)/(x^b)=

When we divide different exponents of the same base, we...

(x^a)/(x^b)=x^(a-b)

When we divide different exponents of the same base, we subtract!

300
The inventor of Algebra was...

The inventor of Algebra was Al-Khwarizmi of Baghdad!

400

m^3*m^9=

m^3*m^9=m^12

400

(x^12)/(x^-8)=

(x^12)/(x^-8)=x^20

400

(k^(1/2))^-8=-4

(k^(1/2))^-8=k^-4

400

(x^a)^b=

When we raise an exponent to another exponent, we...

(x^a)^b=x^(a*b)

When we raise an exponent to another exponent, we multiply!

400

Name the mayor of New York City and the governor of New York State!

Mayor: Eric Adams

Governor: Kathy Hochul

500

2^x*9^x=

2^x*9^x=18^x

When we multiply two bases of the same exponent, we multiply the bases and keep the exponent!

500

r^5*r^-7=

You must simplify fully. No points otherwise.

r^5*r^-7=1/(r^2)

500

h^7*h^-7=

h^7*h^-7=1

500

x^(-a)=

1/(x^-a)=

Negative exponents go to the...

x^(-a)=1/(x^a)

1/(x^-a)=x^a

Negative exponents go to the other side of the fraction!

500

Name all the states that neighbor New York!

New Jersey, Connecticut, Pennsylvania, Massachusetts, Vermont!

(Double points if you added Ontario and Quebec)

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