Identify the simplified form of the expression x^−4y^3

Question

.(1 point)
Responses

A. y3/x4

B. −x4y3

C. 1/x4y3

D. x4/y3

Answer 1

To simplify the expression \( x^{-4}y^3 \), we can apply the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \).

Thus, we can rewrite the expression as follows:

\[ x^{-4}y^3 = \frac{y^3}{x^{4}} \]

Now, looking at the answer choices:

A. \(\frac{y^3}{x^4}\)

B. \(-x^4y^3\)

C. \(\frac{1}{x^4y^3}\)

D. \(\frac{x^4}{y^3}\)

The correct answer is:

A. \(\frac{y^3}{x^4}\)