Properties of rational exponents and radicals

Front

Define rational exponent.

Back

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents. For example, @@ oot{n}{x} = x^{rac{1}{n}}@@.

Front

Back

Front

What is the product of two radicals?

Back

The product of two radicals can be simplified using the property: @@ oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.

Front

Simplify: @@ oot{3}{27}@@

Back

Front

Convert the expression @@ oot{4}{x^8}@@ to exponential form.

Back

Front

Back

Front

Define the term 'radical'.

Back

A radical is an expression that includes a root, such as a square root or cube root, represented by the symbol @@ oot{n}{}@@.

Front

What is the simplified form of @@rac{1}{ oot{3}{x^6}}@@?

Back

Front

Simplify: @@ oot{2}{8} imes oot{2}{2}@@

Back

@@ oot{2}{16} = 4@@.