Question

How do you simplify `(2x ^ { 4} y ^ { 5} ) ^ { - 2}`?

Answer 1

`1/(4x^8y^10)`

Explanation:

The negative exponent will bring all of the terms to the denominator, thus we have:

`1/(2x^4y^5)^2`

Remember, when we raise a power to a power, we multiply the powers to find the new exponent. Thus, we have:

`1/(4x^8y^10)`

The exponent of `2` applied to all of the terms, so we squared everything, even the constants.

Hope this helps!