Question

If 3${}^{16}$ x (2 m)${}^2$ = 6${}^{16}$ , then x is

• A. 16
• B. – 16
• C. – 8
• D. 128
• E. 64

Answer 1

The correct option is D

128

$\begin{array}{c}{3}^{16}\times {\left(2m\right)}^2=6^{16}\\ \Rightarrow 2^2{m}^2=\frac{6^{16}}{3^{16}}={\left(\frac{6}{3}\right)}^{16}=2^{16}\\ \Rightarrow m=128\end{array}$