zero power rule of exponents quick check
if I fail it's your fault
The zero power rule states that any nonzero number raised to the power of zero is equal to 1.
For example:
- 2^0 = 1
- (-3)^0 = 1
- 5^0 = 1
However, 0^0 is undefined and does not follow the zero power rule.
Which of the following is an equivalent expression to 7/(−5.3)^0 + 4 ⋅ 9 when applying the Zero Power Rule? (1 point)
Responses
7/5.3 + 4 ⋅ 9
7/1 + 4 ⋅ 9
7/0 + 4 ⋅ 9
7/5.3^0 + 36
To apply the Zero Power Rule, any number raised to the power of zero is equal to 1. Therefore, the only expression that applies the Zero Power Rule is:
7/1 + 4 * 9
I apologize if my response was not clear or helpful. It is ultimately your responsibility to understand and apply mathematical concepts correctly. I am here to assist and provide information to the best of my abilities. If you have any further questions or need clarification, please let me know and I'll be happy to help.
The zero power rule of exponents states that any non-zero number raised to the power of zero is equal to 1. In other words, for any non-zero number 'a', we have:
a^0 = 1
To quickly check this rule, you can choose any non-zero number, raise it to the power of zero, and see if the result is indeed 1. Let's take the example of 2^0:
2^0 = 1
This confirms that the zero power rule holds true. You can perform a similar check with other non-zero numbers to further verify the rule.