Powers of Evens and Odds
Which of the following choices are even numbers?
Indicate __all__ such choices.
Incorrect.
[[snippet]]
The base of $$5^{12}$$ is an odd number, five, so the final value will be odd.
Correct.
[[snippet]]
Answer $$8^{13}$$ is an even number.
The base of the expression is eight, an even number. No matter what exponent eight is raised to, the result will be even.
Correct.
[[snippet]]
$$\displaystyle 0^{27} = 0$$
Zero is an even number, so raising it to any power will give an even number. In the case of zero, the value will still be equal to zero as well.
Correct.
[[snippet]]
$$\displaystyle 0^{81} = 0$$
Raising zero to any positive exponent will give you zero, an even number. This is consistent with the rule that any even number raised to a power gives an even number.
Incorrect.
[[snippet]]
Answer $$93^{43}$$ is an odd number because its base, 93, is odd.
Correct.
[[snippet]]
Answer $$102^{204}$$ is an even number.
The base of the expression, 102, is an even number, so raising it to an exponent will be even as well.
$$5^{12}$$
$$8^{13}$$
$$0^{27}$$
$$0^{81}$$
$$93^{43}$$
$$102^{204}$$
Proceed to step
