Radicals and Rational Exponents Flashcard

Front

What is the radical form of x^(2/3)?

Back

∛x²

Front

How do you convert ∜x⁵ to exponential form?

Back

x^(5/4)

Front

What is the simplified form of √50?

Back

5√2

Front

What is the radical form of x^(7/2)?

Back

√x⁷

Front

What is the general form of a radical expression?

Back

√(a) = a^(1/2)

Front

How do you express a^(m/n) in radical form?

Back

a^(m/n) = √[n](a^m)

Front

What is the relationship between rational exponents and radicals?

Back

Rational exponents can be expressed as radicals, where the denominator is the index of the root.

Front

Convert the expression 27^(1/3) to radical form.

Back

∛27

Front

What is the value of x if x^(3/2) = 8?

Back

x = 16

Front

How do you simplify the expression √(x^4)?

Back

x² (assuming x is non-negative)