Evaluate This: The Zero Power Rule on Decimal 0.1

Question

(0.1)0= (0.1)^0=

Video Solution

Step-by-Step Solution

To solve this problem, let's apply the Zero Exponent Rule:

  • Step 1: Identify the base, which is 0.10.1, a non-zero number.
  • Step 2: Recognize that the exponent is 00.
  • Step 3: Apply the zero exponent rule, which states that any non-zero number raised to the power of zero equals 11.

According to the Zero Exponent Rule, we have:

(0.1)0=1(0.1)^0 = 1.

Therefore, the value of (0.1)0(0.1)^0 is 1\mathbf{1}.

Answer

1