6) $$ h(z)=-2 \cdot 5^{-1-1} $$. Find $$ h $$

Question

UpStudy AI · Accepted Answer

To find $$ h(z) $$ given the expression $$ h(z) = -2 \cdot 5^{-1-1} $$, we first simplify the exponent.

The exponent is:

$$
-1 - 1 = -2
$$

Now we can rewrite the expression for $$ h(z) $$:

$$
h(z) = -2 \cdot 5^{-2}
$$

Next, we calculate $$ 5^{-2} $$:

$$
5^{-2} = \frac{1}{5^2} = \frac{1}{25}
$$

Now substituting this back into the expression for $$ h(z) $$:

$$
h(z) = -2 \cdot \frac{1}{25} = -\frac{2}{25}
$$

Thus, the value of $$ h(z) $$ is:

$$
\boxed{-\frac{2}{25}}
$$
$$ h(z) = -\frac{2}{25} $$

6) \( h(z)=-2 \cdot 5^{-1-1} \). Find \( h \)