Question

which of the following shows the prime factorization of 72 using exponential notation? $2^3 cdot 3^2$ $8 cdot 9$ $2 cdot 6^2$ $2^2 cdot 3^2$

Explanation:

Step1: Factor 72 into primes

$72 = 2 \times 2 \times 2 \times 3 \times 3$

Step2: Rewrite with exponents

$72 = 2^3 \times 3^2$

Step3: Match with options

Compare to given choices to find the match.

Answer:

$2^3 \cdot 3^2$