What is the value of any number raised to the power of zero?
2 answers:
Answer:
Any non-zero number raised to the power of zero is equal to one. Zero raised to the power of zero is equal to zero.
Step-by-step explanation:
This is one way to think about it
Remember the exponent law where . Therefore, I can create the equation
and expand it to
. When calculating this, I get 5*(1/5), which is 1.
This is true for any non-zero number.
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One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do
since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get 
, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
Another way would be to do