Fractional and Radical Exponents

• ∛y

• y³

• √y

• 1∕ 3y

• it disappears

Simplify:

• 2

• 4

• 16

• 64

Which expression with a fractional exponent best represents √7 ?

• 7 ^½

• 7¼

• 7⅓

• 2⁷

A rational exponent can be broken down by identifying the numerator as a ​ ​ (a)   and the denominator as a ​ (b)  

• power

• root

• radical

• index

Write in exponential form

∛x⁷

• x⁷∕ ³

• x3⁄7

• 3x⁷

• 7x³

Rewrite x^3/4 in radical form

• ³√(x)⁴

• ⁴√(x)³

• ^x√(3)⁴

• 1/(³√(x)⁴)

• radical

• fractional exponent

• base

Write in exponential form

√x⁵

• X¹∕ ⁵

• X ²⁄⁵

• X⁵⁄ ²

• X⁵

When rewriting a radical in exponential form (fraction exponent), the power goes on the numerator or denominator of your fraction?

• Numerator

• Denominator