Laws of Rational Exponents

Which of the following CORRECTLY illustrates power of a power rule for rational exponents?

• (m^1/2)^1/3 = m^1/5

• (n^2/3)^1/3 = n¹

• (q^3/5)^1/5 = q^4/5

• (p^2/3)^2/5 = p^4/15

Which among the following correctly illustrates the power of a product rule for rational exponents?

Power of a power rule states that whenever an exponential expression is raised to another power, we simply _______ the exponents.

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)

• x⁴
• x⁸
• x¹²
• x²⁰

Simplify

• 3 x² y² z √3yz

• 3 x y z √xy²

• 3xyz

• Can't Simplify

Find the cube root.

• 9/12

• 3/4

• 4/8

• 5/4

• 2/6

Simplify:

• 2

• 8

• 16

• 32