Prime Factorization
35^3 *65*9^13
where do I start?

Question

Prime Factorization 
35^3 *65*9^13
where do I start?

zepdrix · Answer

Ummm I think you want to break down the bases into their prime factorization, then combine powers and such.

So for example the 35 would be..
$$35^3=(5*7)^3=5^3*7^3$$
5 and 7 are prime, so that number is finished, yay!
Can you figure out the primes of 65 and 9? :)

anonymous · Answer

5,13 for 65 3,3 for 9

zepdrix · Answer

$$(5^3*7^3)(5^1*13^1)(3^{15}*3^{15})$$
Ok now combine terms with similar bases!
Remember when you multiply terms with similar bases, you ADD the exponents

anonymous · Answer

5*13*5^3*7^3*13^26

anonymous · Answer

how do you use exponents?

zepdrix · Answer

$$3^{15}*3^{15}=3^{15+15}=3^{30}$$
When you multiply terms with the same base (3 is our base),
You ADD the exponents, as I have done here.