Rational Fraction Exponents and Radicals

When changing rational (fractional) exponents to radical form, the denominator of the fraction is the root or power?

• Root

• Power

When rewriting a radical in exponential form (fraction exponent), the power goes on the numerator or denominator of your fraction?

• Numerator

• Denominator

Write the expression in radical form.

• 2^3/5
• -2^3/5
• 2^5/3
• 8⁵

√3

• 7√3

• Can't Simplify

• 6√15

• 6√3

A rational exponent can be broken down by identifying the numerator as a ​ ​ (a)   and the denominator as a ​ (b)  

• power

• root

• radical

• index

Simplify the expression:

• 6x²y² ∛3

• 6xy² ∛6x²

• ∛1296x⁵y⁶

• cannot combine; unlike radicand

What is the value of the expression?

• 8√6

• 8√12

• 12√6

• 12√12

• 7³
• 7
• 7^3/4
• 7^4/3

Write the following expression in exponential form:

• a.)

• b.)

• c.)

• d.)