Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. which of the following shows the prime factorization of 108 using exponential notation? \\(2^2 \cdot 3^3\\) \\(2^2 \cdot 3\\) \\(2 \cdot 3^3\\) \\(2 \cdot 3\\)

Explanation:

Step1: Factor 108 into primes

$108 = 2 \times 54 = 2 \times 2 \times 27 = 2 \times 2 \times 3 \times 9 = 2 \times 2 \times 3 \times 3 \times 3$

Step2: Rewrite with exponents

$2^2 \times 3^3$

Step3: Match to options

Compare the result to the given choices.

Answer:

$\boldsymbol{2^2 \cdot 3^3}$ (the first option)