6.1 Rational Exponents

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root.

Tags

CCSS.HSN.RN.A.2

Front

How do you express a rational exponent as a radical?

Back

To express a rational exponent as a radical, use the formula: a^(m/n) = n√(a^m), where 'n' is the root and 'm' is the power.

Tags

CCSS.HSN.RN.A.2

Front

What does an exponent of 1/2 represent?

Back

An exponent of 1/2 represents the square root of a number.

Tags

CCSS.HSN.RN.A.2

Front

Simplify: 2^(4/2)

Back

16

Tags

CCSS.HSN.RN.A.2

Front

Simplify: 8^(3/3)

Back

8

Tags

CCSS.HSN.RN.A.2

Front

What is the value of 4^(1/2)?

Back

2

Front

What is the value of 27^(1/3)?

Back

3

Front

How do you convert 16^(1/4) to a radical?

Back

16^(1/4) = 4√16 = 2.

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents provide a way to express roots in exponential form, allowing for easier manipulation in equations.

Tags

CCSS.HSN.RN.A.2

Front

Simplify: (x^(1/3))^3

Back

x.