Radicals and Rational Exponents

Front

Write the expression in exponential form: ∜x⁵

Back

x⁵/4

Front

Write the expression in exponential form: ∛x²

Back

x²/3

Front

Write the expression in exponential form: √23

Back

23¹/²

Front

Write the expression in radical form: y¹/²

Back

√y

Front

Simplify the expression: 27¹/³

Back

3

Front

What is the definition of a radical?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Front

What is the definition of a rational exponent?

Back

A rational exponent is an exponent that can be expressed as a fraction, indicating both a power and a root.

Front

Convert the radical expression √(x²) to exponential form.

Back

x¹

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents, where the index of the root becomes the denominator of the exponent.

Front

Simplify the expression: (x²)¹/²

Back

x