Evaluate the Fractional Expression: What is 1 Divided by 5 Raised to Power Zero?

150= \frac{1}{5^0}=

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Step-by-step video solution

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00:00 Solve
00:04 Any number(M) to the power of 0 always equals 1
00:10 This formula is valid as long as the base is not 0
00:14 We will use this formula in our exercise, we can see that the base is not 0
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

150= \frac{1}{5^0}=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given expression which is 150\frac{1}{5^0}.
  • Step 2: Recognize that 505^0 involves a zero exponent.
  • Step 3: Apply the zero exponent rule, which states that any non-zero number raised to the power of zero equals one.
  • Step 4: Substitute the result back into the original expression.

Now, let's work through each step:
Step 1: The problem gives us 150\frac{1}{5^0}.
Step 2: We apply the zero exponent rule to the term 505^0. According to the rule, 50=15^0 = 1.
Step 3: Substitute this value into the expression, thus yielding 11\frac{1}{1}.
Step 4: Perform the division, which results in 11.

Therefore, the solution to the problem is 1.

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Final Answer

1

Practice Quiz

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

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