Question

Simplify the expression (-5^5 b^5)^2(a^3b^3)^5

Answer 1

I'm not sure I read your question correctly so I rewrote it on the left side of the equal sign. If that is correct, then the circled part should be your answer! Download photomath if you are able to, it's really helpful!

Answer 2

`(-5^5b^5)^2(a^3b^3)^5=(-5^5)^2(b^5)^2(a^3)^5(b^3)^5\\\\=5^(5\cdot2)b^(5\cdot2)a^(3\cdot5)b^(3\cdot5)=5^(10)b^(10)a^(15)b^(15)\\\\=5^(10)a^(15)b^(10+15)=5^(10)a^(15)b^(25)\\\\\text{Used:}\\\\(a^n)^m=a^(n\cdot m)\\\\a^n\cdot a^m=a^(n+m)`