Radicals and Rational Exponents Practice

Front

What is the exponential form of ∜x⁵?

Back

x^(5/4)

Front

How do you rewrite x^(2/3) in radical form?

Back

∛x²

Front

What is the exponential form of ∛x⁵?

Back

x^(5/3)

Front

How do you express ∛x⁷ in exponential form?

Back

x^(7/3)

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents, where √[n]{x} = x^(1/n).

Front

What is the general form of a rational exponent?

Back

A rational exponent is expressed as a fraction, a/b, where a is the power and b is the root.

Front

How do you convert a radical expression to an exponential expression?

Back

Replace the radical with a fractional exponent, where the denominator is the index of the root.

Front

What is the index of a radical?

Back

The index of a radical indicates the degree of the root, such as square root (2), cube root (3), etc.

Front

How do you simplify the expression x^(m/n)?

Back

Rewrite it as the nth root of x raised to the m power: ∛(x^m) if n=3.

Front

What is the value of x^(0)?

Back

x^(0) = 1 for any x ≠ 0.