Question

Which of the following shows the correct process of solving -3⁰ + 4.5? A) -3⁰ + 4.5 = (-3)⁰ + 4.5 B) -3⁰ + 4.5 = -1 x 3⁰ + 4.5 C) -3⁰ + 4.5 = -3 + 4.5 D) 0 - 3.0 + 4.5 = -3.0 + 4.5

Answer 1

To solve the expression \(-3^0 + 4.5\), we first need to understand the rules of exponents.

According to the rule, any non-zero number raised to the power of 0 is equal to 1. Therefore:

\(-3^0 = 1\)

Now we can substitute this back into the expression:

\(-3^0 + 4.5 = 1 + 4.5 = 5.5\)

Now let us examine the options provided:

A) \(-3^0 + 4.5 = (-3)^0 + 4.5\) - This is incorrect because \(-3^0 = 1\), not \((-3)^0\).

B) \(-3^0 + 4.5 = -1 \times 3^0 + 4.5\) - This is also incorrect as \(-3^0\) equals 1, not \(-1 \times 3^0\).

C) \(-3^0 + 4.5 = -3 + 4.5\) - This is incorrect since \(-3^0\) equals 1, not -3.

D) \(0 - 3.0 + 4.5 = -3.0 + 4.5\) - This also does not accurately simplify the original expression.

None of the options correctly show the process of solving \(-3^0 + 4.5\) as stated. The correct approach starts with recognizing that \(-3^0 = 1\) and leads to \(1 + 4.5 = 5.5\).

So, to directly answer your question, none of the provided options A, B, C, or D shows the correct process for solving \(-3^0 + 4.5\).