Question

Natasha says that $7^5$ is bigger than $5^7$. Has Natasha arrived at the right answer?

• A. Yes
• B. No
• C. Cannot be determined

Answer 1

The correct option is B No

$7^5=7\times 7\times 7\times 7\times 7=16,807$
[Appying repeated exponentiation]

$5^7=5\times 5\times 5\times 5\times 5\times 5\times 5$ $=78,125$

Now,
$\because 78,125>16,807$
$\Rightarrow 5^7>7^5$
$\therefore$ Natasha didn't arrive at the right answere,
Hence, option (b) is the correct choice.