Rational Exponents, Radical Equations, Function Operations

Front

What is a rational exponent?

Back

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@@ ext{The radical expression is } oot{3}{y^2}@@.

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How do you express @@ oot{3}{x^7}@@ in exponential form?

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What is the solution to the equation @@4 oot{x+9} + 11 = 7@@?

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Front

Define a radical expression.

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A radical expression is an expression that includes a root symbol (√) to indicate the root of a number or variable.

Front

What is the relationship between rational exponents and radical expressions?

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Rational exponents can be converted to radical expressions, where the denominator of the exponent indicates the root and the numerator indicates the power.

Front

How do you simplify @@ oot{4}{x^8}@@?

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What is the domain of the function @@f(x) = oot{x-3}@@?

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@@ ext{The domain is } x ext{ such that } x ext{ is greater than or equal to } 3.$$

Front

What is the process to solve a radical equation?

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To solve a radical equation, isolate the radical on one side, then square both sides to eliminate the radical, and solve the resulting equation.