Solve the following exercise:
Solve the following exercise:
Introduction:
We will address the following two laws of exponents:
a. The definition of root as an exponent:
b. The law of exponents for an exponent applied to terms in parentheses:
Note:
By combining these two laws of exponents mentioned in a (in the first and third steps) and b (in the second step ), we can derive another new rule:
Therefore, in solving the problem, meaning - simplifying the given expression, we will apply the new rule studied in the introduction:
We'll start by simplifying the expression using the rule we studied in the introduction (however this time in the opposite direction, meaning we'll insert the product of roots as a product of terms under the same root) We'll then proceed to perform the multiplication under the root and finally we'll perform the fifth root operation:
Therefore, the correct answer is answer B.
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