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What is 315 written as a product of prime factors in index form? Can somebody please explain this to me in english?

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apologiabiology
I'm guessing it's like this
example
18=2*3*3=(2¹)(3²)


315/5=63
63/3=21
21/3=7

factored form is 3*3*5*7=(3²)(5¹)(7¹)

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