Exponent & Radical Properties

Negative exponents

100

Simplify    10x^-3 

10/x^3

200

(3x)^-2

1/(9x^2)

300

(x^-2y^4z^-3)/(xy^5z^2)

1/(x^3yz^5)

400

((p^3r^5)/(q^2s))^-1

((q^2s)/(p^3r^5))

500

((d^2e^-1f)/(e^2f^3))^-2

(e^6f^4)/(d^4)

Rational Exponents

100

sqrt(x^7)

x^(7/2)

200

sqrt(x^3)/(x)

sqrtx

300

3sqrt(4x^18)

6x^9

400

cbrt(64x)^2

16x^(2/3)

500

sqrt(x^7)*x^(5/2)

x^6

Simplifying Radicals

100

sqrt(96)

4sqrt6

200

sqrt(24x^3)

2xsqrt(6x)

300

sqrt((121x^12)/(25y^8))

(11x^6)/(5y^4)

400

sqrt(175)+sqrt(63)

8sqrt7

500

(2+sqrt5)(2-sqrt5)

-1

Solving with Rational Exponents

100

z^(2/3)=36

z=216

200

a^(3/7)=8

a=128

300

2x^(5/2)=2048

x=16

400

WOW!

YOU GET A FREE 4/4 ON THE TEST!

....PSYCH!

Have some candy instead.

500

4^x=8

4^(2/3)=8

Zilban lore

100

Zilban studied this language in high school (not English).

Latin

200

Zilban studied this language in college (not English or Latin)

Russian

300

One of the three dream getaways Zilban will travel in near future:

Japan, Portugal, or Turkey

400

Zilban played this instrument in a band in high school.

Drums

500

The number of plants in Zilban's apartment.

19