Exponential Powers 2

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equation true.

Hint

How do we figure out how the exponents on the left side of the equation affect the base?

Answer

There are 68 possible solutions. Some examples are:

(3^8)^6 = 9^24
(2^3)^6 = 4^09

Source: Pedro Suber

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3 comments

  1. (3^2)^0=1^4

  2. (2^3)^0=1^45

  3. yeah if you put (x^y)^0=1^z, where x and y are different numbers between 2 and 9, and z with whatever is left.

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