1. Given
[tex]-3z\left(2z^2c^3\right)^2[/tex]
Simplify:
[tex]-3z(4z^4c^6)=-12z^5c^6[/tex]
Answer:
[tex]\begin{equation*} -12z^5c^6 \end{equation*}[/tex]
2.
[tex](-3u^2vw^3)^2(4uv^2w^2)^3[/tex]
Simplify:
[tex](9u^4v^2w^6)(64u^3v^6w^6)[/tex]
Multiply similar terms:
[tex]576u^7v^8w^{12}[/tex]
Answer:
[tex]576u^{7}v^{8}w^{12}[/tex]
3.
[tex]\begin{gathered} \frac{10^7}{10^4} \\ Simplify \\ 10^{7-4}=10^3 \end{gathered}[/tex]
Answer:
[tex]10^3[/tex]
4.
[tex]\begin{gathered} 2^{-5} \\ Simplify \\ \frac{1}{2^5}=\frac{1}{32} \end{gathered}[/tex]
Answer:
[tex]\frac{1}{32}[/tex]
