Rewrite Radicals as Exponents

14

• a

• b

• c

• d

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Write as a radical expression
y²⁄ ³

• 2y³

• √y³

• ∛y²

• 3y²

Write in exponential form
∛x⁷

• x⁷∕ ³

• x3⁄7

• 3x⁷

• 7x³

Rewrite the expression without using a radical:

• (2x+1)^3/4

• (2x+1)^4/3

• 4(2x+1)³

• 3(2x+1)⁴

• (8x+1)^1/4

Re-write using a rational exponent: \sqrt{x}

Re-write using a rational exponent: \sqrt{x}

Rewrite in rational exponent form

• 4^4/3

• 4^3/4

• 2^4/3

• 2^3/4

• Cannot because the cubic root of 4 is not an integer

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 the following expression in radical form:

• a.)

• b.)

• c.)

• d.)