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Apply the exponent rule (x^m)/(xⁿ) = x^m-n for each variable.

Computer Science

ScanSolve AI Answer

Answer

a5b2c\frac{a^5}{b^2 \sqrt{c}}

Step-by-step solution

3 steps
  1. Apply the exponent rule xmxn=xm−n\frac{x^m}{x^n} = x^{m-n} for each variable.

    For aa:

    a2−(−3)=a2+3=a5a^{2 - (-3)} = a^{2+3} = a^5

    For bb:

    b1−3=b−2b^{1 - 3} = b^{-2}

    For cc:

    c12−1=c12−22=c−12c^{\frac{1}{2} - 1} = c^{\frac{1}{2} - \frac{2}{2}} = c^{-\frac{1}{2}}
  2. Combine the simplified terms.

    a5b−2c−12a^5 b^{-2} c^{-\frac{1}{2}}
  3. Rewrite the expression using positive exponents.

    a5b2c12\frac{a^5}{b^2 c^{\frac{1}{2}}}

    This can also be written as:

    a5b2c\frac{a^5}{b^2 \sqrt{c}}
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