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

1 Answer
Apr 26, 2018

#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!