Apply the Zero Power Rule to create an equivalent expression to 43(−2+1⁰)

.(1 point)
An equivalent expression to 4/3(−2+1⁰)
is 4/3 (−2+(blank).

1 answer

According to the Zero Power Rule, any nonzero number raised to the power of 0 equals 1. Therefore, we can simplify the expression \( 1^0 \) as follows:

\[ 1^0 = 1 \]

Now applying this to the expression \( 43(-2 + 1^0) \):

\[ 43(-2 + 1) = 43(-2 + 1) \]

Next, we'll simplify \( -2 + 1 \):

\[ -2 + 1 = -1 \]

So the expression becomes:

\[ 43(-1) \]

Thus, we can write the equivalent expression as:

\[ \frac{4}{3}(-2 + 1^0) = \frac{4}{3}(-2 + 1) \]

So you would fill in the blank with \( 1 \):

\[ \frac{4}{3}(-2 + (1)) \]