Radicals and Rational Exponents

Which expression with a fractional exponent best represents √7 ?

• 7 ^½

• 7¼

• 7⅓

• 2⁷

Write as a radical expression
y¹⁄ ³

• ∛y

• y³

• √y

• 1∕ 3y

Simplify

• 3 x² y² z √3yz

• 3 x y z √xy²

• 3xyz

• Can't Simplify

√5

• 11√5

• 11√10

• 5√5

• 12√10

• 6
• 3/2
• 8/27
• 2/3

This expression can be written as the following exponent on x.

• x^1/5

• x^-1/5

• x^-5

• x⁵

• 7³
• 7
• 7^3/4
• 7^4/3

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

• power

• root

• radical

• index

√3

• 13√3

• 10√30

• 13√6

• 11√3

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵