Question

What does $x{3/2} × x⁻²$ equal?

A) $x{¹/²}$
B) $x{⁻¹/²}$
C) $x{⁵/²}$
D) $x{⁻⁵/²}$

Answer 1

The product of x^ {3/2} and x^ {-2} is x^ {1/2} by applying the rule of adding exponents for multiplication of the same base, which gives us answer A).

Step-by-step explanation:

x^{3/2} \times x^{-2} equals x^{1/2}. This can be solved by using the exponent rule which states that when you multiply powers with the same base, you add the exponents: x^a \times x^b = x^{a+b}. Here, we have 3/2 and -2, which when added together gives 1/2. So, the correct answer is A) x^ {1/2}.