Question

Simplify expression. Use positive exponents.
3. (x–^2y^–4x^3)^ –2 i really need help on this and the steps on how

Answer 1

We start with this:\[(x^{-2}y^{-4}x^{3})^{-2}\]
We can simplify inside the parentheses. When similar variables are multiplied, we add the powers:\[=(xy^{-4})^{-2}\]
When variables are raised to a power, we multiply the powers:\[=(x^{-2}y^{8})\]
Negative powers mean that the variable is in the opposite part of the fraction. In this case, we have a negative power of 'x' in the numerator, so it would be a positive power in the denominator:\[
=\frac{y^{8}}{x^{2}}\]

Answer 2

thank you so much!