Exponential to Radical Form

Front

What is the exponential form of a radical expression?

Back

A radical expression can be expressed in exponential form by using rational exponents. For example, @@ oot[n]{x} = x^{rac{1}{n}}@@.

Front

What is a rational exponent?

Back

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How do you convert a square root to exponential form?

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Front

What is the cube root of 64?

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Front

How do you express @@ oot[5]{x^3}@@ in exponential form?

Back

@@ oot[5]{x^3} = x^{rac{3}{5}}@@.

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What is the value of @@ oot[3]{27}@@?

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How do you simplify @@rac{ oot{16}}{4}@@?

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@@rac{ oot{16}}{4} = rac{4}{4} = 1@@.

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What is the relationship between radical and exponential forms?

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Radical forms can be converted to exponential forms using rational exponents, allowing for easier manipulation in equations.

Front

What is @@ oot[2]{x^4}@@ in exponential form?

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@@ oot[2]{x^4} = x^{rac{4}{2}} = x^2@@.

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How do you express @@ oot[3]{x}@@ in terms of rational exponents?

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@@ oot[3]{x} = x^{rac{1}{3}}@@.