Algebra Radicals and Rational Exponents Test

 A ____________ __________ represents both an integer exponent and an nth root. 

• whole number

• polynomial function

• rational exponent

• complex conjugate

A number expressible in the form a/b or x a/b for some fraction a/b. The rational numbers include the integers.

• expression

• rational number

• nth roots 

• Mr. Griffin likes ninjas.

Is defined as a function, f(x)= a₀xⁿ + a₁x^n-1 + a₂x^n-2 +…+ a_n-2x² + a_n-3x¹ + a_n, where the coefficients are real numbers.

• rational number

• whole numbers

• polynomial function

• No holes in your pants

Rewrite in radical form.

• A

• B

• C

• D

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

• power

• root

• radical

• index

Rewrite the expression without using a radical:

• (2x + 1)^3/4

• (2x + 1)^4/3

• 4(2x + 1)³

• 3(2x + 1)⁴

√5

• 11√5

• 11√10

• 5√5

• 12√10

Q1. What is the value of the expression?

• A) 13√3

• B) 10√30

• C) 13√6

• D) 11√3

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴

• (3x)³∕ ⁴

• (3x)⁴⁄ ³

• 3x⁴⁄ ³