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

.(1 point)
Responses
−x^4y^3
negative x to the 4th power y cubed
1/x^4y^3
the fraction with numerator 1 and denominator x to the 4th power y cubed
y^3/x^4
the fraction with numerator y cubed and denominator x to the 4th power
x^4/y^3

1 answer

To simplify the expression \( x^{-4}y^3 \), we can apply the properties of exponents. The term \( x^{-4} \) can be rewritten as \( \frac{1}{x^4} \). Therefore, the expression becomes:

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

Thus, the simplified form of the expression is:

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

The corresponding response is:

y^3/x^4 (the fraction with numerator y cubed and denominator x to the 4th power).