Question

Papyrus Paul was cleaning his suit one day. An ancient scroll slipped out of one of the sleeves. Scroll talked about a potentially destructive meteor shower, and it is mentioned that it is about to happen in $3^5$ years from $1778$. What is $3^5$ years?

• A. $81$ years
• B. $243$ years
• C. $729$ years
• D. None of the above

Answer 1

The correct option is B $243$ years

As per the ancient scroll, a meteor shower is about to happen in $3^5$ years from the year $1778$.

In $3^5,$
$\bullet$ Base $=3$
$\bullet$ Exponent $=5,$ which denotes the number of times the base $3$ is multiplied by itself

$\therefore 3^5=3\times 3\times 3\times 3\times 3$
$=9\times 9\times 3$
$=81\times 3$
$\Rightarrow 3^5=243$

Hence, the meteor shower is about to happen in $\underset{–}{243\text{years}}$ with respect to the year $1778$, i.e., option (b.) is the correct one.