Question

Hello can someone help me simplify 4) and 5)? Thank you and please include steps :)

Answer 1

alrighty

remember some rules

`(ab)^c=(a^c)(b^c)`
and

`x^(-m)=(1)/(x^m)`
and

`x^0=1` for all real values of x
and

`(a^b)^c=a^(bc)`
and

`((a)/(b))^c=(a^c)/(b^c)`
and
(a/b)/(c/d)=(ad)/(bc)
and

`(a^b)(a^c)=a^(b+c)`
and

`(a^m)/(a^n)=a^(m-n)`
and don't forget pemdas
example:
`-x^m=-1(x^m)` but
`(-x)^m=(-1)^m(x^m)`

so

4.

`((c^(-2))/(2))^(-2)=`


`((c^(-2))^(-2))/(2^(-2))=`


`(c^4)/((1)/(2^2))=`


`(c^4)/((1)/(4))=`


`4c^4`



5.


`((-a)^4bc^5)/(-a^2b^(-3)c^0)=`


`((-1)^4(a)^4bc^5)/(-1(a^2)((1)/(b^3)(1))=`


`((1)a^4bc^5)/(((-1)(a^2))/(b^3))=`


`((a^4bc^5)b^3)/((-1)(a^2))=`


`(-a^4b^4c^5)/(a^2)=`


`-a^2b^4c^5`