Question

Express the following expression in exponential form: x²y³/10⁴.

A) x^2y^3/10^4
B) x^2y^3/10^2
C) x^3y^2/10^4
D) x^3y^2/10^2

Answer 1

The expression x²y³/10⁴ is already in exponential form, corresponding to option A) x²y³/10⁴. No changes to the variables or exponents are needed.

Step-by-step explanation:

To express the given expression x²y³/10⁴ in exponential form, you maintain the variables and their exponents as they currently are, because they are already in the correct form. The confusion may arise with the denominator, which is 10 raised to the power of 4.

Note that when a base is raised to power, the entire base is taken into consideration to that same power, so 10⁴ represents 10x10x10x10, which is 10,000. Therefore, the given expression in exponential form is x²y³/10⁴, which corresponds to option A) x²y³/10⁴. No simplification or change to the exponents is needed as they are already in the correct exponential form.