Maths 1 Mark Question

\begin{aligned}
\left[\left(\frac{2}{5}\right)^{-3}\right]^2 \\
=\left(\frac{2}{5}\right)^{(-3) \times 2}=\left(\frac{2}{5}\right)^{-6}
\end{aligned}

\begin{aligned}
\left[\left(\frac{3}{4}\right)^6\right]^7 \\
=\left(\frac{3}{4}\right)^{6 \times 1}=\left(\frac{3}{4}\right)^6
\end{aligned}

\begin{aligned}
\left[\left(\frac{5}{8}\right)^3\right]^{-2} \\
=\left(\frac{5}{8}\right)^{3 \times(-2)}=\left(\frac{5}{8}\right)^{-6}
\end{aligned}

\begin{aligned}
\left[\left(\frac{2}{3}\right)^{-4}\right]^5 \\
=\left(\frac{2}{3}\right)^{(-4) \times 5}=\left(\frac{2}{3}\right)^{-20}
\end{aligned}

\begin{aligned}
\left[\left(\frac{6}{7}\right)^5\right]^2 \\
=\left(\frac{6}{7}\right)^{5 \times 2}=\left(\frac{6}{7}\right)^{10}
\end{aligned}

\begin{aligned}
\left[\left(\frac{2}{5}\right)^{-2}\right]^{-3} \\
=\left(\frac{2}{5}\right)^{(-2) \times(-3)}=\left(\frac{2}{5}\right)^6
\end{aligned}

\begin{aligned}
\left[\left(\frac{1}{7}\right)^{-3}\right]^4 \\
=\left(\frac{1}{7}\right)^{(-3) \times 4}=\left(\frac{1}{7}\right)^{-12}
\end{aligned}

\begin{aligned}
&\left[\left(\frac{15}{12}\right)^3\right]^4 \\
& =\left(\frac{15}{12}\right)^{3 \times 4}=\left(\frac{15}{12}\right)^{12}
\end{aligned}

\begin{aligned}
&\left(\frac{4}{5}\right)^3 \div\left(\frac{4}{5}\right)^2 \\
& =\left(\frac{4}{5}\right)^{3-2}=\frac{4}{5}
\end{aligned}

\begin{aligned}
& \left(\frac{ P }{5}\right)^3 \times\left(\frac{ P }{5}\right)^7 \\
& =\left(\frac{ P }{5}\right)^{3+7}=\left(\frac{ P }{5}\right)^{10}
\end{aligned}

v. a16 × a7
= a16+7
= a23

\begin{aligned}
& \left(-\frac{3}{2}\right)^5 \times\left(-\frac{3}{2}\right)^3 \\
& =\left(-\frac{3}{2}\right)^{5+3}=\left(-\frac{3}{2}\right)^8
\end{aligned}

\begin{aligned}
& \left(\frac{6}{7}\right)^3 \times\left(\frac{6}{7}\right)^5 \\
= & \left(\frac{6}{7}\right)^{3+5}=\left(\frac{6}{7}\right)^8
\end{aligned}

(-\frac{1}{2}\right)^4 \\
=(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right)=\frac{1}{16}

(\frac{4}{5}\right)^3 \\
=\frac{4}{5} \times \frac{4}{5} \times \frac{4}{5}=\frac{64}{125} \\