Question

Help?! Can somebody tell me the answer and can they explain how to do it?

Answer 1

`15x^7y^5`

Explanation:

Given

`5x^3y^2* 3x^4y^3`

Rewrite it as

`(5\cdot 3)* (x^3\cdot x^4)* (y^2\cdot y^3)`

Use power property:

`a^m\cdot a^n=a^(m+n),`

so

`x^3\cdot x^4=x^(3+4)=x^7\\ \\y^2\cdot y^3=y^(2+3)=y^5`

Then

`(5\cdot 3)* (x^3\cdot x^4)* (y^2\cdot y^3)=15* x^7* y^5=15x^7y^5`