rational exponent

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(m/n) means the nth root of x raised to the m power.

Front

Rewrite x^(2/3) in radical form.

Back

∛x²

Front

What is the value of 5^(0)?

Back

1

Front

Simplify: (x^(1/2))^4.

Back

x²

Front

What does the expression x^(m/n) represent?

Back

It represents the nth root of x raised to the m power.

Front

Simplify: 2^(3/2).

Back

√(2³) = √8 = 2√2.

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents provide a way to express roots using exponents, where the denominator of the exponent indicates the root.

Front

Rewrite 27^(1/3) in exponent form.

Back

3.

Front

Simplify: (x^(3/4))^2.

Back

x^(3/2).

Front

What is the value of 16^(3/4)?

Back

8.