Question

the right side has the expression \\(\frac{1}{a - 5}\\), and the left side has four colored blocks with expressions: green block \\(\frac{5}{a}\\) (maybe reversed?); blue block \\(\frac{5}{a}\\) (reversed text?); orange block \\(\frac{a}{5}\\); cyan block \\(a - 5\\) (reversed text?); also the name daniela on the left panel.

Explanation:

Step1: Recall negative exponent rule

For any non-zero $a$ and integer $n$, $a^{-n} = \frac{1}{a^n}$.

Step2: Apply rule to given expression

Substitute $n=5$ into the rule: $\frac{1}{a^{-5}} = \frac{1}{\frac{1}{a^5}}$

Step3: Simplify the complex fraction

Dividing by a fraction is multiplying by its reciprocal: $\frac{1}{\frac{1}{a^5}} = 1 \times a^5 = a^5$

Answer:

$a^5$ (matches the top yellow option)