Simplifying Rational Exponents with Variables

• a⁶ / b¹²
• b¹²/ a⁴
• a¹² / b⁶
• 1 / a⁶b¹⁰

• 1 / (t² √r³)
• r⁹ / t¹²
• 1/(r⁹t³⁶)
• √r³ / t³⁶

Simplify

• (1/8)x^-2y²

• 8x²y^-2

• 0

• 1

When simplifying an expression with a rational exponent, first we ...

• take the root

• take the power

Use the properties of rational exponents to simplify the expression.

Mathematical Equivalence

ON

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4

Which of the following orders is correct when simplifying expressions with rational exponents?

• Take the root, then the power.

• Take the power, then the root.

Match the expressions to their simplified form.

In the image, what is the index?

• The value a.

• The value n.

• None of the variables are the index.

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)