Question 1089463: I'm working on rewriting exponential expressions with the provided indicated base and the source I'm using to teach me has not been helpful teaching the content. An explanation on what I need to do and why I do it would be helpful to solve problems like 9^2x, base 3. Thank you!
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! 9^(2x), base 3
How can you write 9 with a base 3? Well, 3 x 3 = 9. So we can write it as:
3^2 = 9
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Then let's rewrite your problem:
9^2x, base 3 = 3^2^(2x)
Now, the Power Rule says that to raise a power to a power you need to multiply the exponents. Let's do that:
3^2^(2x) = 3^(4x) We're done, this is your answer.
Happy learning
John
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