Question

Answer 1

\(24^{30}:144^{n+1}=8^{10}\)

\(144^{n+1}=\dfrac{24^{30}}{8^{10}}\)

\(144^{n+1}=\dfrac{24^{30}}{\left(2^3\right)^{10}}\)

\(144^{n+1}=\dfrac{24^{30}}{2^{30}}\)

\(144^{n+1}=12^{30}\)

\(144^{n+1}=12^{\left(2\cdot15\right)}\)

\(144^{n+1}=144^{15}\)

`=>n+1=15`

`=>n=14`