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Simplify: w2 x w x w⁻²

Mathematics

ScanSolve AI Answer

Answer

W

Step-by-step solution

4 steps

To simplify the expression W2×W×W−2W^2 \times W \times W^{-2}, we use the rule of exponents that states am×an=am+na^m \times a^n = a^{m+n}.

  1. Identify the exponents of each term.

    The expression is W2×W1×W−2W^2 \times W^1 \times W^{-2}.

  2. Add the exponents together.

    2+1+(−2)2 + 1 + (-2)
  3. Calculate the sum of the exponents.

    2+1−2=3−2=12 + 1 - 2 = 3 - 2 = 1
  4. Write the simplified expression with the new exponent.

    W1W^1

    Which simplifies to:

    WW
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