Question

By what number should we multiply $4^{-3}$ so that the product may be equal to 64?

• A. $4^5$
• B. $2^{12}$
• C. $2^6$
• D. None of these

Answer 1

The correct option is B $2^{12}$

$x\times 4^{-3}=64$
$x\times \frac{1}{4^3}=64$
$x=64\times 4^3=2^6\times (2^2{)}^3=2^6\times 2^6=2^{12}$