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How Do You Take the Power of a Monomial?

Definition: Power of a Monomial

Summary

  1. A monomial is a number, a variable, or a product of both
  2. 'Product' means multiplication
  3. 'a', 'b', 'm', 'n', and 'p' are all variables
  4. An integer is a whole number that can be positive, negative, or 0
  5. ambn is a monomial
  6. Multiply 'p' times 'm' and 'n'
  7. The monomial 32b4 is being raised to the power 3
  8. Multiply 3 by each of the exponents 2 and 4 to get 36b12

Notes

    1. 'a' and 'b' are variables
    1. 'm' and 'n' are also variables
    2. Take am times bn
    1. 'p' is another variable
    2. Raise ambn to the power 'p'
    1. This gives us amp times bnp
    1. Multiply 3 by each of the exponents 2 and 4
    1. 2•3=6
    2. 4•3=12