So is this the correct prime factorization
be 2 to the 2nd exponent x 3 x 5 to the 4th exponent x 2 the 3rd exponenetx 11 to the 2nd ?
which equals ?
What number are you factorizing into primes? Without knowing that, I cannot tell you if your prime factors are correct.
To determine the correct prime factorization, we need to multiply all the prime factors together and raise each to its respective exponent.
Starting with the given expression:
2^2 x 3 x 5^4 x 2^3 x 11^2
First, let's simplify the exponent of 2:
2^2 x 3 x 5^4 x 2^3 x 11^2 = 4 x 3 x 5^4 x 2^3 x 11^2
Next, we can multiply the numbers together:
4 x 3 x 5^4 x 2^3 x 11^2 = 12 x 625 x 8 x 121
Now, we can simplify further:
12 x 625 x 8 x 121 = 75,000 x 968
Finally, we can multiply the remaining numbers:
75,000 x 968 = 72,600,000
Therefore, the correct prime factorization is 72,600,000.