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Simplify. Write the expression using only positive exponents.$m^{-2}\cdot n^3$m−2·n3​The simplified expression is .

Question

Simplify. Write the expression using only positive exponents.

m2n3 m^{-2} \cdot n^{3}

The simplified expression is .

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Solution

To simplify the expression m2n3 m^{-2} \cdot n^3 and write it using only positive exponents, follow these steps:

  1. Identify the term with the negative exponent: m2 m^{-2} .
  2. Recall that a negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. Therefore, m2 m^{-2} can be rewritten as 1m2 \frac{1}{m^2} .
  3. Rewrite the entire expression using this information: m2n3=1m2n3 m^{-2} \cdot n^3 = \frac{1}{m^2} \cdot n^3
  4. Combine the terms into a single fraction: n3m2 \frac{n^3}{m^2}

The simplified expression is n3m2\frac{n^3}{m^2}.

This problem has been solved

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