what is the prime factorization of 10000 using exponents
Answer:
\(2^4 \cdot 5^4\)
Step-by-step explanation:
the prime factorization of 10000
To get prime factorization , we break 10000
10000 can be written as 10 times 10 times `10 times 10
Also we break 10 into 2 times 5
\(10000=2 \cdot 5 \cdot 2\cdot 5 \cdot2 \cdot5 \cdot2 \cdot 5\)
\(10000=2^4 \cdot 5^4\)
prime factorization of 10000 is
\(2^4 \cdot 5^4\)