Question

Apply the law of exponents to simplify the followingplease help me answer u can direct answer it

Answer 1

1. Given

`-3z\left(2z^2c^3\right)^2`

Simplify:

`-3z(4z^4c^6)=-12z^5c^6`

Answer:

`\begin{equation*} -12z^5c^6 \end{equation*}`

2.

`(-3u^2vw^3)^2(4uv^2w^2)^3`

Simplify:

`(9u^4v^2w^6)(64u^3v^6w^6)`

Multiply similar terms:

`576u^7v^8w^(12)`

Answer:

`576u^(7)v^(8)w^(12)`

3.

`\begin{gathered} (10^7)/(10^4) \\ Simplify \\ 10^(7-4)=10^3 \end{gathered}`

Answer:

`10^3`

4.

`\begin{gathered} 2^(-5) \\ Simplify \\ (1)/(2^5)=(1)/(32) \end{gathered}`

Answer:

`(1)/(32)`