Answer:
[tex]-27x^{15} y^{6}[/tex]
Step-by-step explanation:
In this monomial, there are 3 different terms that all need to be cubed (raised to the power of 3).
First, cube -3; cubing -3 is the same as multiplying -3*-3*-3. This equals -27, the first part of the final answer.
Next is x^5 cubed. The power of a power rule tells us that to find an exponent raised to another power you need to multiply the exponents. That means that (x^5)^3 would be x^15 because 5*3=15.
Finally, (y^2)^3. This also utilizes the power of a power rule. So, multiply 2*3 to get the answer y^6.
Combine the terms for the final answer of [tex]-27x^{15} y^{6}[/tex].
