Option B : is the expression equivalent to
Explanation:
The given expression is
Rewriting the expression using the exponent rule,
Hence, we get,
Simplifying, we get,
Applying the rule,
Thus, we have,
Now, we shall determine from the options that which expression is equivalent to
Option A:
The expression is not equivalent to simplified expression
Thus, the expression is not equivalent to
Hence, Option A is not the correct answer.
Option B:
The expression is equivalent to the simplified expression
Thus, the expression is equivalent to
Hence, Option B is the correct answer.
Option C:
The expression is not equivalent to the simplified expression
Thus, the expression is not equivalent to
Hence, Option C is not the correct answer.
Option D:
The expression is not equivalent to the simplified expression
Thus, the expression is not equivalent to
Hence, Option D is not the correct answer.