Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1 to the power of 0)

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to one. Therefore, in the expression \(1^0\):

\[ (-2 + 1)^0 = 0^0 = 1 \quad (\text{Since } -2 + 1 = -1 \text{, and } (-1)^0 = 1) \]

Now substituting this back into the original expression:

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

Thus, the expression simplifies to:

\[ \frac{4}{3} \]

So, the equivalent expression is:

\[ \frac{4}{3} \]

Answer 2

no symbols?

Answer 3

Sure! Let's express it without using symbols.

First, recall the Zero Power Rule: any non-zero number raised to the power of zero equals one.

In the expression four-thirds multiplied by the quantity negative two plus one raised to the power of zero, we focus on the part inside the parentheses:

Negative two plus one equals negative one.

According to the Zero Power Rule, negative one raised to the power of zero equals one.

Now, we can substitute this result back into the expression.

Thus, the expression four-thirds multiplied by one simplifies to four-thirds.

In conclusion, the equivalent expression is four-thirds.

Answer 4

simplfly 4/3

Answer 5

The fraction four-thirds cannot be simplified further because the numerator (4) and the denominator (3) do not have any common factors other than 1.

However, if you'd like to express four-thirds as a mixed number, you can do so:

Four-thirds is equal to one whole and one-third.

So, if you want it in a mixed number form, it would be one and one-third. If you prefer it as an improper fraction, it remains four-thirds.

Would you like further assistance with this?

Answer 6

An equivalent expression to 4/3(−2+10)
is 4/3
(−2+?

).

Answer 7

Let's simplify the expression \( \frac{4}{3}(-2 + 10) \) first:

1. Calculate \(-2 + 10\): \(-2 + 10 = 8\)

Now, substituting that back into the expression gives us:

\[ \frac{4}{3}(8) \]

To express it in the form \( \frac{4}{3}(-2 + ?)\), we can solve for the question mark:

Since we already have \(-2 + 10 = 8\), we can rewrite \(8\) as:

\[ -2 + 10 \]

So, \(? = 10\).

Therefore, an equivalent expression to \(\frac{4}{3}(-2 + 10)\) can be written as:

\[ \frac{4}{3}(-2 + 10) \]

In the requested format, this means:

\[ \frac{4}{3}(-2 + ?), \text{ where } ? = 10. \]