Answer 3^4
There are many ways to do it. Here is one that I find intuitive and simpler than some others.
You note that 81 is 9x9 and that 9 is 3x3. So 81 = (3^2) (3^2 )
Then using the laws of exponents we remember that when we multiply numbers with exponents, we add the exponents. So the answer is 3^4
81 is 9 x 9
9 is 3 x 3
So 81 must be 3 x 3 x 3 x 3
81 = 34
The product of its prime factors are: 3*3*3*3 = 81
3❹ * 1 = 81
It is: 2*41 = 81
If you mean 81 then as a product of its prime factors 3*3*3*3 = 81 or in exponents 3^4 = 81
find the prime factorization to the number 81
The prime power factorization of 81 is 34.
The prime factorization of 81 is 3x3x3x3 or 34 in exponential form.
The prime factorization of 81 using exponents is: 34
34 = 81
The prime factorization of 81 is 3 x 3 x 3 x 3.
9
3^4 = 81
81 = 34
Method of prime factorization is one of the best methods to find L.C.M. Prime factorization of 81 = 3x3x3x3 Prime factorization of 70 = 2x5x7 It is clear that nothing is common in Prime Factorization of both numbers. Also, L.C.M. = Product of common numbers x Product of uncommon factors So, L.C.M. of 81 and 70 = Product of 81 and 70(Because nothing is common in 71 and 80) = 81 x 70 = 5670
3 x 3 x 3 x 3 = 81 37 is already prime. No factorization.
81 = 3^4 so 3 is a prime factor.