Solve the following exercise:
Solve the following exercise:
In order to simplify the given expression we use two laws of exponents:
A. Defining the root as an exponent:
B. The law of exponents for dividing powers with the same bases (in the opposite direction):
Let's start by changing the square roots to exponents using the law of exponents shown in A:
We continue: since we are multiplying two terms with equal exponents we can use the law of exponents shown in B and combine them together as the same base raised to the same power:
In the last steps wemultiplied the bases and then used the definition of the root as an exponent shown earlier in A (in the opposite direction) to return to the root notation.
Therefore, the correct answer is answer B.