Rational Exponents

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, representing both a root and a power.

Front

How do you simplify a value with a rational exponent?

Back

First, you take the root, then you apply the power.

Front

What does the expression x^(1/n) represent?

Back

It represents the n-th root of x.

Front

What is the value of any non-zero number raised to the power of 0?

Back

The value is 1.

Front

What is the relationship between rational exponents and radicals?

Back

Rational exponents can be converted to radical form, where the numerator is the power and the denominator is the root.

Front

Convert 16^(1/4) to radical form.

Back

The radical form is the fourth root of 16.

Front

What is the value of 7^(1)?

Back

The value is 7.

Front

If a^(m/n) = b, what does this mean?

Back

It means that b is the n-th root of a raised to the m-th power.

Front

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

Back

The simplified form is x^2.

Front

How do you express the square root of x in terms of rational exponents?

Back

The square root of x is expressed as x^(1/2).