Properties of Rational Exponents Review

Select ALL the statements that are true.

Expressions are simplified when:

• There are NO fractional exponents in the denominator

• There are NO negative exponents

• All fractions are reduced

• There are No fractional Exponents in the numerator

• Coefficients are simplified

There is an order we should use to simplify rational exponents.

Order the statements below.

• Apply Exponent Properties

  (Power of a Power, Product of exponents, and quotient of exponents)

• "Rationalize" :eliminates fractional Exponents from denominator

• Simplify negative exponents (expressions with negative exponents in the numerator become positive in the denominator)

Answer explanation

When multiplying with likes bases, add the exponents.

Answer explanation

Recall: Power to a Power

Multiply the exponents!

Answer explanation

Multiply Exponents! Remember to simplify

Answer explanation

DIVIDE COEFFICIENTS

SUBTRACT EXPONENTS

Answer explanation

Apply Exponent Properties First! When dividing, Subtract exponents.

Do not "rationalize" denominator as your first step.

Answer explanation

Remember to apply Exponent Properties First. So subtract the exponents on x. Then. take care of the negative exponent.

Answer explanation

Note: I simplified inside the parenthesis first, but you can also distribute the exponent of 4 to ALL of the exponents then simplify (subtract) the exponents on x.