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

Hello can someone help me simplify 4) and 5)? Thank you and please include steps :)-example-1
User PreethaA
by
8.0k points

1 Answer

3 votes
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
User Vy Do
by
8.4k points

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