An equivalent expression to 4/3(−2+1^0)

Question

is 4/3(−2+_).

Answer 1

To find an equivalent expression to $\frac{4}{3}(-2+1^0)$, we first need to evaluate $1^0$.

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

$$1^0=1$$

Now, we can substitute that back into the expression:

$$-2+1^0=-2+1$$

Now, we can compute:

$$-2+1=-1$$

So, we can rewrite the original expression as:

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

Thus, we can say that an equivalent expression to $\frac{4}{3}(-2+1^0)$ is:

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

In the blank, you would place $-1$.

Thus, the final answer is:

$$\frac{4}{3}(-2+\underset{―}{-1})$$