Properties of Exponents
Rational to Radical
Radical to Rational
Binomial Radical Expressions
Ms. L
100

What is the product rule for exponents?

xa * xb = xa+b

100

Convert 71/2 to radical form.

√7

100

Convert √5 to exponential form.

51/2

100

√6 *√3

√18

100

Where is Ms L from?

Ohio

200

What is the quotient rule for exponents?

xa / xb = xa-b

200

Convert 52/3 to radical form.

∛(52) or ∛25

200

Convert ∛(x²) to exponential form.

x2/3

200

-4√6-√6

-5√6

200

What math topic does Ms L love teaching because she can dance.

Polynomials 

300

What is the power rule for exponents?

(xa)b = xab

300

Convert 101/4 to radical form.

∜10

300

Convert ⁴√(a³) to exponential form.

a3/4

300

-5√3 +7√3

2√3

300

What other class subject would Ms L teach if she could?

Ceramics/art

400

What is the negative exponent rule?

x-a = 1/xa

400

Convert (x3y2)1/5 to radical form.

⁵√(x³y²)

400

Convert ⁵√(x⁴y³) to exponential form.

(x⁴y³)1/5

400

√6x *√5x

x√30

400

What is Ms L's favorite color

Purple

500

What is the zero exponent rule?

x0 = 1

500

Convert (a2b-3)1/2 to radical form.

√(a2/b3) or a/∛b

500

Convert ∛(x²) to exponential form.

x2/3

500

√48x +√12x

6√3x

500

How many siblings does Ms L have?

3

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