Nth Roots and Rational Exponents with Variables

Solve the equation.

• A

• B

• C

• D

In the radical , which represents the nth root of x, n is the index. In the radical ⎷x, the index is understood to be 2

• Like Terms

• Index

• Perfect Square

• Polynomial

An expression that contains a radical sign.

• Radical Expression

• Radicand

• Rationalizing the Denominator

• Recursive Rule

Can be expressed as m/n such that if m and n are integers, then bm/n = n⎷bm = (n⎷b)m

• Recursive Rule

• Radicand

• Sequence

• Rational Exponent

The expression under a radical sign.

• Radical Expression

• Radical

• Radicand

• Rational Exponent

If an= b for a positive integer n, then a is the nth root of b.

• cube

• square

• nth root

• system of equations

In nth roots, the value that indicates to what root the value under the radicand is being taken.

• index

• radicand

• square root

• cubed

A rational number with a cube root that is a rational number.

• perfect square

• elimination

• rational

• perfect cube

The value inside the radical symbol.

The value you want to take the root of.

• radicand

• root

• exponent

• scientific notation

An equation in which the variable occurs as exponents.

• Exponential equation

• index

• inconsistent

• consistent