Pre-Algebra 8th grade

Exponents

100

Write 6 x 6  x 6 x 6 with an exponent

6⁴

200

Write and simplify 8 x 8 x b x b x b 

64b³

300

Simplify 9⁴

6561

400

Simplify 4,724⁰

1

500

Write and simplify 5 x 5 x 5 x a x a x a x a

125a⁴

Multiplying Exponents

100

Simplify 4y⁴ x y⁵

4y⁹

200

Simplify 7² x 7²

7⁴ = 2401

300

Simplify a³ x 4a⁷

4a¹⁰

400

Simplify 8a² x 8a⁶

64a⁸

500

Simplify 12b x b⁰

12b

Power Exponents

100

Simplify (10b³)²

100b⁶

200

Simplify (5z³)³

125z⁹

300

Simplify (6a²)⁴

1296a⁸

400

Simplify (12b)⁰

1

500

Simplify (9x⁴)³

729x¹²

Negative Exponents

100

Rewrite using positive exponents only 

4x^-3

1/4x³

200

Rewrite using only positive exponents

                1/6p^-5

6p⁵

300

Simplify

      3z^-3 x 3z^-4

1/3z⁷

400

Simplify using the power rule

(2y)^-4

1/2y⁴

500

Simplify using the multiplying rule

p^-7 x p³

1/p⁴

Exponents Rules

100

What rule is a^maⁿ = a^m+n

Multiplying Exponents Rule

200

What rule is a^-n= 1/aⁿ

Negative Exponents Rule

300

What rule is (a^m)ⁿ = a^mn

Power to Power Rule

400

What rule is a⁰ = 1 

Power to Zero Rule

500

What rule is a^m/aⁿ = a^m-n

Dividing Exponents Rule