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

Simplify the expression: 27^(1/3)

Back

3

Front

Write the expression 4^(1/2) in radical form.

Back

√4

Tags

CCSS.HSN.RN.A.2

Front

Rewrite the expression 16^(3/4) in radical form.

Back

(√16)^3 = 4^3 = 64

Tags

CCSS.HSN.RN.A.2

Front

Write the expression √x in exponential form.

Back

x^(1/2)

Front

Simplify the expression: 64^(2/3)

Back

16

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents can be expressed as roots; for example, a^(m/n) = n√(a^m).

Tags

CCSS.HSN.RN.A.2

Front

Convert the expression 81^(2/4) to radical form.

Back

(√81)^2 = 9^2 = 81

Tags

CCSS.HSN.RN.A.2

Front

What does the expression x^(1/3) represent?

Back

The cube root of x.

Front

Simplify: 8^(2/3)

Back

4