Question

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

• A. 6
• B. 5
• C. 4
• D. 7

Answer 1

The correct option is D

7

Given, $8^{100}\times m^{100}={56}^{100}$

$\Rightarrow {\left(8m\right)}^{100}={\left(56\right)}^{100}[\because a^m\times b^m=(ab{)}^m]$

$\Rightarrow 8m=56$

$\Rightarrow m=\frac{56}{8}=7$