Apply the exponent rule (x^m)/(x^n) = x^m-n for each variable.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Step 1: Apply the exponent rule $\frac{x^m}{x^n} = x^{m-n}$ for each variable.
For $a$:
$$ a^{2 - (-3)} = a^{2+3} = a^5 $$
For $b$:
$$ b^{1 - 3} = b^{-2} $$
For $c$:
$$ c^{\frac{1}{2} - 1} = c^{\frac{1}{2} - \frac{2}{2}} = c^{-\frac{1}{2}} $$
Step 2: Combine the simplified terms.
$$ a^5 b^{-2} c^{-\frac{1}{2}} $$
Step 3: Rewrite the expression using positive exponents.
$$ \frac{a^5}{b^2 c^{\frac{1}{2}}} $$
This can also be written as:
$$ \boxed{\frac{a^5}{b^2 \sqrt{c}}} $$
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