`@` `\text {Ans}`
`\downarrow`
`7)`
\(\dfrac{8^3\cdot8^2}{2^{10}}\)
`=`\(\dfrac{\left(2^3\right)^3\cdot\left(2^3\right)^2}{2^{10}}\)
`=`\(\dfrac{2^9\cdot2^6}{2^{10}}\)
`=`\(\dfrac{2^{15}}{2^{10}}=2^5=32\)
`8)`
\(\dfrac{16^3\cdot8^5}{4^{12}}\)
`=`\(\dfrac{\left(2^4\right)^3\cdot\left(2^3\right)^5}{\left(2^2\right)^{12}}\)
`=`\(\dfrac{2^{12}\cdot2^{15}}{2^{24}}\)
`=`\(\dfrac{2^{27}}{2^{24}}=2^3=8\)
`9)`
\(\dfrac{5^4\cdot9^5}{15^3\cdot27^2}\)
`=`\(\dfrac{5^4\cdot\left(3^2\right)^5}{5^3\cdot3^3\cdot\left(3^3\right)^2}\)
`=`\(\dfrac{5^4\cdot3^{10}}{5^3\cdot3^3\cdot3^6}\)
`=`\(\dfrac{5^4\cdot3^{10}}{5^3\cdot3^9}=5\cdot3=15\)