Rational Exponents and Radicals

Front

Write in exponential form: ∜(3x)³

Back

(3x)³∕ ⁴

Front

Simplify: (x⁻²)⁻¹∕²

Back

x

Front

Simplify: x²⁄ ³⋅x¹⁄ ³

Back

x

Front

Write in exponential form: √x⁵

Back

X⁵⁄ ²

Tags

CCSS.HSN.RN.A.2

Front

Define rational exponent.

Back

An exponent that is a fraction, representing both a root and a power.

Tags

CCSS.HSN.RN.A.2

Front

What is the relationship between rational exponents and radicals?

Back

Rational exponents can be expressed as roots; for example, x^(1/n) is the nth root of x.

Tags

CCSS.HSN.RN.A.2

Front

Simplify: (x²)¹∕²

Back

x

Front

What does the expression x^(m/n) represent?

Back

It represents the nth root of x raised to the m power.

Tags

CCSS.HSN.RN.A.2

Front

Convert the radical expression √(a/b) to exponential form.

Back

(a/b)^(1/2) or a^(1/2)/b^(1/2).

Tags

CCSS.HSN.RN.A.2

Front

What is the value of (x^0)?

Back

1, for any x ≠ 0.