(A2) R2

Properties of Exponents

100

What is the product rule for exponents?

x^a * x^b = x^a+b

200

What is the quotient rule for exponents?

x^a / x^b = x^a-b

300

What is the power rule for exponents?

(x^a)^b = x^ab

400

What is the negative exponent rule?

x^-a = 1/x^a

500

What is the zero exponent rule?

x⁰ = 1

Rational to Radical

100

Convert 7^1/2 to radical form.

√7

200

Convert 5^2/3 to radical form.

∛(5²) or ∛25

300

Convert 10^-1/4 to radical form.

1/∜10

400

Convert (x³y²)^1/5 to radical form.

⁵√(x³y²)

500

Convert (a²b^-3)^1/2 to radical form.

√(a²/b³) or a/∛b

Radical to Rational

100

Convert √5 to exponential form.

5^1/2

200

Convert ∛(x²) to exponential form.

x^2/3

300

Convert ⁴√(a³) to exponential form.

a^3/4

400

Convert ⁵√(x⁴y³) to exponential form.

(x⁴y³)^1/5

500

Convert 1/∛(x²) to exponential form.

x^-2/3

Simplifying Expressions

100

(x²)^1/4

x^1/2

200

(16x^-12)^1/4

2x^-3

300

(x^1/2y^1/3)^-6

x^-3y^-2

400

(x^-2/3y^1/4)¹²

x^-8y³

500

(x^1/2y^1/3) / (x^1/4y^1/6)

x^1/4y^1/6