Question

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.

(4/xy3)−2

Answer 1

To simplify the expression (4/xy^3)^-2 using the properties of exponents, we can rewrite the expression as follows:

(4/xy^3)^-2 = (xy^3/4)^2

Now we can expand the numerator and denominator:

(xy^3/4)^2 = (x^2 * y^6) / 4^2

Simplifying further:

(x^2 * y^6) / 4^2 = x^2y^6 / 16

Therefore, the simplified expression is x^2y^6 / 16.