🔒 Unlock Full Access

You're currently viewing a preview. Sign up or log in to access all 11 questions and complete solutions.

Question 1
124513

Simplify \(\dfrac{4^n \times 8^{n+1}}{16^{n-1}}\)

\(2^{n+7}\)

\begin{aligned}
\frac{4^n \times 8^{n+1}}{16^{n-1}}&=\frac{\left(2^2\right)^n \times\left(2^3\right)^{n+1}}{\left(2^4\right)^{n-1}} \\
& =\frac{2^{2 n} \times 2^{3 n+3}}{2^{4 n-4}} \\
& =2^{5 n+3-(4 n-4)} \\
& =2^{n+7}
\end{aligned}

📚 Want More Questions?

There are 10 more questions available. Create your free account to access the complete question set with detailed solutions.