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Which of the following shows the correct process of solving −3^0+4.5?(1 point)

Responses

−3^0+4.5=(−3)^0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5

−3^0+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5

−3^0+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5

−3^0+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5

3 answers

To solve the expression \(-3^0 + 4.5\), we need to understand how exponents work. The expression \(-3^0\) should be evaluated correctly:

  1. Exponent Rule: Any non-zero number raised to the power of 0 is 1. Thus, \(-3^0 = 1\) (note: the exponent only applies to 3, not the negative sign).

Now, the step-by-step evaluation is as follows:

\[ -3^0 + 4.5 = -1 + 4.5 \]

Now performing the addition:

\[ -1 + 4.5 = 3.5 \]

From the responses provided, the correct process shown is:

−3^0+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5

So, the last option is the correct choice.

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