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How Do You Take a Monomial to a Power?

Simplify the monomial (2a2b)3

Summary

  1. '(2a2b)3' is a monomial
  2. 'a' and 'b' are variables
  3. We use the power of a product rule to distribute the exponent '3' to each factor in '2a<exp>2</exp>b'
  4. We use the power of a power rule to multiply the exponents '2' and '3' together
  5. 23 = 8
  6. (a2)3 = a2 • 3 = a6

Notes

    1. 'raised to the power of 3' is the same as saying 'cubed'
    1. Notice that each factor is raised to the 3rd power
    2. 'a' and 'b' are variables
    1. 'a' is a variable
    2. 'raised to the 3rd' is the same as saying 'cubed'
    1. 'a' is a variable
    1. '23' = 2 • 2 • 2 = 8
    1. 'a' and 'b' are variables