Question

The sum of first ten natural numbers with power zero is $10$. True or False?

• A. True
• B. False

Answer 1

The correct option is A True

The first $10$ natural numbers are $1,2,3,4,5,6,7,8,9,10$.

Sum of first $10$ natural number with power $0$ $=1^0+2^0+3^0+4^0+5^0+6^0+7^0+8^0+9^0+{10}^0$

By the law of exponent, .

$1^0=1,2^0=1,3^0=1,4^0=1,5^0=1,6^0=1,7^0=1,8^0=1,9^0=1,{10}^0=1$ $[Since,a^0=1]$

Thus, $1^0+2^0+3^0+4^0+5^0+6^0+7^0+8^0+9^0+{10}^0$$=1+1+1+1+1+1+1+1+1+1$

$=10$

Therefore, it is true that the sum of first ten natural numbers with power zero is $10$.