Rational Exponents

Front

What is a rational exponent?

Back

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

Tags

CCSS.HSN.RN.A.2

Front

How do you express the square root of x using rational exponents?

Back

The square root of x can be expressed as x^(1/2).

Tags

CCSS.HSN.RN.A.2

Front

What is the first step in simplifying a value with a rational exponent?

Back

The first step is to take the root.

Tags

CCSS.HSN.RN.A.2

Front

If you have x^(m/n), what does m represent?

Back

m represents the power to which the base x is raised.

Tags

CCSS.HSN.RN.A.2

Front

If you have x^(m/n), what does n represent?

Back

n represents the root that is taken of the base x.

Tags

CCSS.HSN.RN.A.2

Front

How do you convert x^(1/3) to radical form?

Back

x^(1/3) can be expressed as the cube root of x, or ∛x.

Front

What is the relationship between rational exponents and radicals?

Back

Rational exponents can be converted to radical form, where the denominator of the exponent indicates the root.

Tags

CCSS.HSN.RN.A.2

Front

Simplify: (x^(1/2))^4

Back

The simplified form is x^(4/2) = x^2.

Front

What is the value of 8^(2/3)?

Back

8^(2/3) = (cube root of 8)^2 = 2^2 = 4.

Front

How do you multiply two expressions with the same base and rational exponents?

Back

You add the exponents. For example, x^(a/b) * x^(c/d) = x^((ad + bc)/(bd)).

Tags

CCSS.8.EE.A.1