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What exponent must replace the "?" to make the equation true? (3a) R. (302)2 = 35a? ​

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Final answer:

To make the equation (3a)^R. (302)^2 = 35a?, we need to determine the exponent that will make the equation true. By equating the exponents of the bases, we find that the exponent to replace '?' is 2.

Step-by-step explanation:

To make the equation (3a)R. (302)2 = 35a?

We need to determine the exponent that will make the equation true.

Let's break down the equation:

  • (3a)R. (302)2 can be simplified as (3R.2) * (aR.2)
  • So the equation becomes (3R.2) * (aR.2) = 35a?

Now, since the bases are the same, we can equate the exponents:

  • R.2 = 1
  • R = 2

Therefore, the exponent that must replace the '?' to make the equation true is 2.

User Or Cohen
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