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Equivalent Expressions with Powers

Directions: Find values for a and b that will make the expressions equivalent, assuming that a does not equal b.

Hint

Hint

How does each base’s factors affect the equivalence?

Answer

Answer

There are two possible answers. One is when a and b are 2 and 4, giving 2^4 = 4^2. The other was found by Shashi and is when a and b are -2 and -4, giving (-2)^(-4) = (-4)^(-2).

Source: Owen Kaplinsky

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4 comments

  1. Oh! I didn’t think of that!

  2. I think have more answer like ;a=1,b=1 this is one answer:a=-1,b=-1

  3. Nice one! I’ll add it to the answers.

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