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. $2^8$

Answer 1

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

Let the number to be multiplied be $x$

Then ATQ,

$4^{-3}\times x=64$

$⟹\frac{x}{4^3}=64$

$⟹x=64\times 4^3=64\times 64={64}^2=2^{12}$