Question

Find the product. (3p^4)^3 · (p^2)^7

Answer 1

Answer:
`27p^(26)`

Explanation:

In this case, you need to use the Power of a power property, which states that:

`(a^m)^n=a^(mn)`

And the Product of powers property, which states that:

`(a^m)(a^n)=a^((m+n))`

Then, applying this, we get the following product:

`(3p^4)^3*(p^2)^7=27p^((4)(3))*p^((2)(7))=27p^(12)*p^(14)=27p^((12+14))=27p^(26)`