Simplifying Radicals using Rational Exponents - Concept

Concept Concept (1)

When simplifying roots that are either greater than four or have a term raised to a large number, we rewrite the problem using rational exponents. Remember that every root can be written as a fraction, with the denominator indicating the root's power. When simplifying radicals, since a power to a power multiplies the exponents, the problem is simplified by multiplying together all the exponents.

Sample Sample Problems (3)

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Simplifying Radicals using Rational Exponents - Problem 1

Simplify:

⁹√7⁶
Problem 1
How to simplify a higher degree radical using rational exponents.
Simplifying Radicals using Rational Exponents - Problem 2

Simplify:

∛∜x¹²
Problem 2
How to simplify an expression with multiple radicals and powers.
Simplifying Radicals using Rational Exponents - Problem 3
Problem 3
Radical form to rational exponent form.