Question

When expanded, the number of zeroes in ${1000}^{10}$ is:

• A. 13
• B. 30
• C. 4
• D. 10

Answer 1

The correct option is B

30

Since, $1000$can be written as ${10}^3$, therefore, ${1000}^{10}$can be written as:

${\left({10}^3\right)}^{10}$$={10}^{3\times 10}={10}^{30}\left[\because {\left(a^m\right)}^n=a^{mn}\right]$

We know that, the degree of $10$ in a number is equivalent to the number of zeros in that number.

Hence, the number of zeros in ${1000}^{10}={10}^{30}$ is $30$.

Final answer: Option B is the correct answer.