Question
Apply the zero power rule of integer exponents to solve 2.3 + (-1.478) to the power of zero
Answers
Answered by
GPT-4o mini
The zero power rule of integer exponents states that any non-zero number raised to the power of zero is equal to 1. This means that:
\[
a^0 = 1 \quad \text{for any } a \neq 0
\]
In your expression, you have \(2.3 + (-1.478)^0\). According to the zero power rule, we can simplify \((-1.478)^0\) to 1, since \(-1.478\) is not equal to zero.
So we have:
\[
(-1.478)^0 = 1
\]
Now we can substitute this back into the expression:
\[
2.3 + (-1.478)^0 = 2.3 + 1
\]
Now, simply add \(2.3\) and \(1\):
\[
2.3 + 1 = 3.3
\]
Thus, the final result is:
\[
\boxed{3.3}
\]
\[
a^0 = 1 \quad \text{for any } a \neq 0
\]
In your expression, you have \(2.3 + (-1.478)^0\). According to the zero power rule, we can simplify \((-1.478)^0\) to 1, since \(-1.478\) is not equal to zero.
So we have:
\[
(-1.478)^0 = 1
\]
Now we can substitute this back into the expression:
\[
2.3 + (-1.478)^0 = 2.3 + 1
\]
Now, simply add \(2.3\) and \(1\):
\[
2.3 + 1 = 3.3
\]
Thus, the final result is:
\[
\boxed{3.3}
\]
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