Exponents and Roots

Multiplication & Division

100

Simplify

 8³*8⁶

8⁹

200

Simplify

x⁶/x³

x³

300

Simplify

(b¹²)²

b²⁴

400

Simplify

(y²y⁶)/(y²)²

y⁴

500

Simplify

(a³b⁴)/(a²b³)

ab

Negative and Zero Exponents

100

Simplify

6⁰

1

200

Simplify

x^-5

(Hint: your answer should not contain any negative exponents)

1/x⁵

300

Simplify

r³/r⁵

Your answer should not include any negative exponents.

1/r²

400

Simplify

(2xy⁰)/(x³y)

Your answer should not include negative exponents!

2/x²y

500

Simplify

(32a⁵bc⁰d⁵/6a⁹b⁴d¹⁰)⁰

Your answer should not include negative exponents!

1

Rational Exponents

100

Write √y in exponential form.

y^1/2

200

Write (xy)^1/3 in radical form.

³√xy

300

True or false: 4 is the index of the expression ⁴√16.

True

400

Write (25t)^1/2 in radical form.

5√t

500

Write ³√27x in exponential form.

3x^1/3 

OR 

(27x)^1/3

Roots

100

Simplify 

√(16x²)

4x

200

Simplify 

√5*√5

5

300

Simplify 

√(81/25)

9/5

400

Simplify

√(81a²bc³)

9ac√bc

500

Simplify 

√52

2√13

Radical Operations

100

Simplify

√44

2√11

200

Simplify

3√2 + 4√3 + 5√2 + √3

8√2 + 5√3

300

Simplify 

5√2(2√8 + √2)

50

400

Simplify

√56 + 3√81

2√14 + 27

500

Simplify

3√75 - 6√48 - √27

-12√3