Question

By what number should $3^{-4}$ be multiplied, so that the product is $729$?

• A. $3^8$
• B. $3^9$
• C. $3^{10}$
• D. $3^{12}$

Answer 1

The correct option is C $3^{10}$

we know,

$729=3^6$

also,

$a^m\ast a^n=a^{m+n}$

let the number be x

So,

$3^{-4+x}=3^6$

$x-4=6$

$x=10$

$⟹$ $3^{10}$