Question

Expressions that have Values Between 1 and 0. See the pic with all the attachments.

Answer 1

According to the zero property of exponents, any number raised to the power of zero always equals to 1. This means that

$\begin{gathered} n^0=1 \\ -y^0=-1 \\ (-\frac{1}{3})^0=1 \end{gathered}$

Similarly,

$\begin{gathered} -(\frac{2}{3})^0=-1 \\ -8^0=-1 \\ (-8)^0=1 \\ 25^0=1 \end{gathered}$

On the other hand, by the negative rule for exponents given by

$x^{-n}=\frac{1}{x^n}$

we have

$\begin{gathered} 2^{-3}=\frac{1}{2^3}=\frac{1}{8} \\ \text{and} \\ 5^{-1}=\frac{1}{5} \end{gathered}$

So, the expressions that have values between 0 and 1 are:

$\begin{gathered} 2^{-3} \\ \text{and} \\ 5^{-1} \end{gathered}$

which correspond to options e and f.