Exponents & Roots Test Review

Evaluating Exponents

100

-2^2

-4

200

(-3)^3

-27

300

(-11)^2/11^3

1/11

400

-5^2-4^3+(-2)^3-10^2

-197

500

(-2^2+3^3-(-4)^2-5^3)/((-3)^2+10^3

-118/1009

Exponent Rules

100

2^5*2^8

2^13

200

x^6/x

x^5

300

(x^2y^8)/(x^3y^5)

y^3/x

400

(-1000x*y*543-238z+7000)^0

1

500

(-5a^4b^9*3a^6b)/(-4b^4*10a^6b*a^4)

(3b^5)/(8

Square Roots

100

sqrt(144/16)

3

200

Simplify:

sqrt(96)

4sqrt(6)

300

Estimate to the nearest tenth:

sqrt(50)

7.1

400

Simplify:

sqrt(18)/sqrt(72)

1/2

500

Simplify and then estimate:

3sqrt(216)

18sqrt(6) ~ 44.1

Cube Roots

100

root(3)(125)

5

200

root(3)(-27)

-3

300

-root(3)(-216)

6

400

root(3)(8) + root(3)(-64)

-2

500

-root(3)(1000)-root(3)(-27/8)

-8.5 = -17/2

MISC.

100

sqrt(-100)

Not a real number

200

4x^-7

4/x^7

300

Name this symbol:

sqrt

Radical sign or principal square root sign

400

Find two consecutive integers that 

sqrt(70)

8, 9

500

Estimate to the nearest hundredth:

sqrt(23.5)

4.85