Question

explain your reasoning.
jade
$g^5gh^6 = (g \cdot g \cdot g \cdot g \cdot g) \cdot (g) \cdot (h \cdot h \cdot h \cdot h \cdot h \cdot h)$
sal
$g^5gh^6 = (g \cdot g \cdot g \cdot g \cdot g) \cdot (gh \cdot gh \cdot gh \cdot gh \cdot gh \cdot gh)$
select choice is correct; only the select choice is raised to the power of 6. the exponent of the second g is select choice.

Explanation:

Step1: Analyze Jade's expansion

$g^5gh^6 = (g \cdot g \cdot g \cdot g \cdot g) \cdot (g) \cdot (h \cdot h \cdot h \cdot h \cdot h \cdot h)$
This follows exponent rules: $g^5$ is 5 multiplied $g$s, the single $g$ is $g^1$, and $h^6$ is 6 multiplied $h$s.

Step2: Analyze Sal's expansion

$g^5gh^6 = (g \cdot g \cdot g \cdot g \cdot g) \cdot (gh \cdot gh \cdot gh \cdot gh \cdot gh \cdot gh)$
This is incorrect because $h^6$ only applies to $h$, not the product $gh$.

Step3: Identify the exponent of the second $g$

The term $g^5g$ is $g^{5+1}=g^6$, so the single $g$ has an exponent of 1.

Answer:

1. First Select Choice: Jade
2. Second Select Choice: $h$
3. Third Select Choice: 1