Rational Exponents and Exponent Rules FLASHCARD

Front

What is the definition of 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 2^(3/2) into radical form.

Back

√(2^3) = √8 = 2√2.

Front

What happens to the exponents when you multiply two expressions with the same base?

Back

You add the exponents.

Front

What is the result of (x^a) * (x^b)?

Back

x^(a+b).

Front

How do you simplify the expression (x^3)^4?

Back

x^(3*4) = x^12.

Front

What is the rule for dividing expressions with the same base?

Back

You subtract the exponents.

Front

What is the result of x^5 / x^2?

Back

x^(5-2) = x^3.

Front

Rewrite the expression 27^(1/3) in exponential form.

Back

3.

Front

What is the value of 64^(3/2)?

Back

512.

Front

How do you express the square root of x^4?

Back

x^(4/2) = x^2.