Radical and Rational Exponents

Front

Define radical expression.

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A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

Front

What is a rational exponent?

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@@ oot{3}{y}@@.

Front

Simplify @@ oot{3}{3} imes oot{3}{9}@@.

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@@ oot{3}{27} = 3@@.

Front

Convert @@ oot{3}{x^5}@@ to a rational exponent.

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Front

What is the relationship between radical expressions and rational exponents?

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Radical expressions can be rewritten using rational exponents, and vice versa. For example, @@ oot{n}{x} = x^{rac{1}{n}}@@.

Front

Convert @@ oot{4}{m^3}@@ to a rational exponent.

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Front

What is the simplified form of @@ oot{3}{27}@@?

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@@ oot{5}{x^2}@@.

Front

What is @@ oot{2}{16}@@?

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