Rational Exponents

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.

Front

Convert the expression x^(1/2) to radical form.

Back

√x

Front

What is the value of any number raised to the power of zero?

Back

1

Front

Simplify: (x^(1/3))^3.

Back

x

Front

Convert the expression √(x^5) to exponential form.

Back

x^(5/2)

Front

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

Back

It represents the n-th root of x raised to the m-th power.

Front

Simplify: 4^(1/2).

Back

2

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents can be used to express roots; for example, x^(1/n) is the n-th root of x.

Front

Convert the expression 27^(2/3) to radical form.

Back

√(27^2) or (3√27)^2.

Front

What is the simplified form of (x^(1/4))^4?

Back

x