Evaluate This: The Zero Power Rule on Decimal 0.1

(0.1)0= (0.1)^0=

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Step-by-step video solution

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00:00 Solve
00:04 Any number (M) raised to the power of 0 is always equal to 1
00:07 This formula is valid as long as the base is not 0
00:11 We will use this formula in our exercise, we can see that the base is not 0
00:17 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(0.1)0= (0.1)^0=

2

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}.

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Final Answer

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Practice Quiz

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Which of the following is equivalent to \( 100^0 \)?

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