Solve the following exercise:
Solve the following exercise:
In order to simplify the given expression, we will apply the following three laws of exponents:
a. Definition of root as an exponent:
b. Law of exponents for an exponent applied to terms in parentheses:
c. Law of exponents for an exponent raised to an exponent:
Begin by converting the fourth root to an exponent using the law of exponents mentioned in a.:
Next, apply the law of exponents mentioned in b. and proceed to apply the exponent to each factor inside of the parentheses:
Let's continue, using the law of exponents mentioned in c. and perform the exponent operation on the term with an exponent in the parentheses (the second term in the product):
In the final step, we converted the one-half exponent on the first term in the product back to a fourth root form, again, according to the definition of root as an exponent mentioned in a. (in the reverse direction).
Therefore, the correct answer is answer c.