Solve the following equation:
Solve the following equation:
Examine the following two laws of exponents:
a. 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 ahead) and b (in the second step ahead), we can obtain a new rule:
And specifically for the fourth root we obtain the following:
Therefore, we will proceed with solving the problem as follows:
First, we'll eliminate the fraction line, which we'll achieve by multiplying both sides of the equation by the common denominator which is- :
Let's continue to simplify the expression on the left side of the equation, using the following rule :
(which of course also applies to multiplication between numbers under a root), next we'll perform the multiplication under the root:
In the final step, we used the known fourth root of the number 36,
Let's summarize the solution of the equation:
Therefore, the correct answer is answer a.
6