Radicals and Rational Exponents

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root or cube root. For example, @@ ext{radical } ext{of } 4 = ext{ } oot{2}{4} = 2@@.

Tags

CCSS.8.NS.A.1

Front

What does it mean to rewrite a radical in exponential form?

Back

Rewriting a radical in exponential form involves expressing the root as a fractional exponent. For example, @@ oot{n}{a} = a^{rac{1}{n}}@@.

Tags

CCSS.HSN.RN.A.2

Front

When rewriting a radical in exponential form, where does the power go in the fraction?

Back

The power goes on the numerator of the fraction.

Front

Back

@@4^{rac{3}{2}} = ext{ } oot{2}{4}^3 = ext{ } oot{2}{4} imes oot{2}{4} imes oot{2}{4}@@.

Tags

CCSS.HSN.RN.A.2

Front

What is the exponential form of @@ oot{3}{x}^5@@?

Back

Tags

CCSS.HSN.RN.A.2

Front

Back

@@12^{rac{3}{4}} = ext{ } oot{4}{12}^3@@.

Tags

CCSS.HSN.RN.A.2

Front

What is the exponential form of @@ oot{2}{x}@@?

Back

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents, where the root is the denominator and the power is the numerator.

Tags

CCSS.HSN.RN.A.2

Front

How do you convert @@ oot{n}{a}@@ to exponential form?

Back

To convert, use the formula @@ oot{n}{a} = a^{rac{1}{n}}@@.

Tags

CCSS.HSN.RN.A.2

Front

What is the value of @@ oot{2}{16}@@?

Back

Tags

CCSS.8.EE.A.2