Introduction to Rational Exponents

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)

Write the following expression in exponential form:

• a.)

• b.)

• c.)

• d.)

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)

• 2^3/5
• -2^3/5
• 2^5/3
• 8⁵

Rewrite the expression using a rational exponent:

• 216
• 6^1/2
• 6²
• 6^3/2

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4

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

Rewrite in radical form.

• A

• B

• C

• D

Simplify
(6^3/4)^1/3

• 6^1/4

• 6^3/12

• 6^4/7

• 6^9/12