Rational Exponent Investigation

• m⁴
• m⁶
• m¹⁰
• 1/m⁶

Write the expression in radical form.
x^3/4

• ∜x³

• ∛x⁴

• x^.75

• √x²

Simplify the expression:
27^1/3

• 3

• 9

• 27

• 3³

Rewrite the expression using a rational exponent:

a

b

c

2

3

5

a

b

c

a

5

3

Write the expression in exponential form:
√23

• 23^1/2

• 23^-1/2

• 23²

• 23^-2

Write the expression in exponential form:
∛x²

• x^3/2

• x^2/3

• x^1/2

• x^1/3

Write the expression in exponential form:
∜x⁵

• x^4/5

• x^5/4

• x⁵

• x^1/4

Write the expression in exponential form:
∛(2x)²

• (2x)^2/3

• 2x^2/3

• 2x^3/2

• (2x)^3/2