Evaluate 100^0: Understanding the Zero Exponent Rule

Question

Which of the following is equivalent to 1000 100^0 ?

Video Solution

Solution Steps

00:00 Solve
00:03 Any number (A) raised to the power of 0 equals 1
00:08 And this is the solution to the question

Step-by-Step Solution

Let's solve the problem step by step using the Zero Exponent Rule, which states that any non-zero number raised to the power of 0 is equal to 1.


  • Consider the expression: 1000 100^0 .
  • According to the Zero Exponent Rule, if we have any non-zero number, say a a , then a0=1 a^0 = 1 .
  • Here, a=100 a = 100 which is clearly a non-zero number, so following the rule, we find that:
  • 1000=1 100^0 = 1 .

Therefore, the expression 1000 100^0 is equivalent to 1.

Answer

1