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

Question

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

Video Solution

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.

Answer

1