Question

For all n $\in$ N, $n^4$ is less than

• A. ${10}^n$
• B. $4^n$
• C. ${10}^{10}$
• D. None of these

Answer 1

Answer: (A)

${10}^n$

For $n=1$,

$n^4=1$

Option A : 10

Option B: 4

For $n=2$,

$n^4=16$

Option A: 100

Option B: 16

Thus, $n$ is always less than ${10}^n$.