Rules of Exponents

Multiplication Rule

100

x² * x⁵ = ....

What is x⁷?

200

2k³ * 3k = ....

What is 6k⁴ ?

300

x⁴y * 2y⁴ = ....

What is 2x⁴y⁵

400

3y³ * 3x³y³ 

What is 9y⁶x³ ?

500

x⁴y * 3y² * 3y⁴

What is 9x⁴y⁷ ?

Power Rule

100

(n³)²

What is n⁶ ?

200

(2x²)²

What is 4x⁴ ?

300

(2y³)³

What is 8y⁹ ?

400

(nm²)³

What is n³m⁶ ?

500

(x²) * (2y³)² * 2x²y³ 

What is 8x⁶y⁹ ?

Quotient Rule & Negative Exp. Rule

100

3n⁴ ÷ n² = ...

What is 3n² ?

200

3n² ÷ 3n²

What is 1 ?

300

(2ab⁴) ÷ (2b)² = ...

What is ab² ÷ 2 

("ab² over 2")

400

x^-4 = ...

What is 1 ÷ x⁴

("1 over x⁴")

500

(xy²)^-2 = ...

What is 1 ÷ (x²y⁴)

("1 over x²y⁴")

Scientific Notation

100

Write 650000 in scientific notation

What is 6.5 x 10⁵ ?

200

Write 0.00063 in scientific notation

What is 6.3 x 10^-4 ?

300

Simplify (2 x 10²)*(7.1 x 10^-4)

What is 1.42 * 10^-1 ?

400

Simplify (8 x 10²)⁶

What is 2.62 x 10¹⁷

500

Simplify 5 x 10^-3 + 2.1 x 10^-1

What is 2.15 x 10^-1

Simplifying Square Roots

100

Simplify √(75)

What is 5√(3) ?

200

Simplify √(144)

What is 12 ?

300

Simplify √(32p²)

What is 4p√(2) ?

400

Simplify √(512r⁴)

What is 16r²√(2)

500

Simplify 8√(36x²y)

What is 48x√(y)