Respuesta :
Answer:
[tex] \frac{ {5}^{4} {3}^{3} }{ {5}^{2} {3}^{2} } = {5}^{2} \times 3 = 25 \times 3 = 75[/tex]
To simplify the expression 5^4 * 3^3 / 5^2 * 3^2, we follow the rules of exponents:
5^4 * 3^3 / 5^2 * 3^2
= 5^(4-2) * 3^(3-2) (Using the rule a^m / a^n = a^(m-n))
= 5^2 * 3^1
= 25 * 3
= 75
Therefore, the simplified expression is 75.
5^4 * 3^3 / 5^2 * 3^2
= 5^(4-2) * 3^(3-2) (Using the rule a^m / a^n = a^(m-n))
= 5^2 * 3^1
= 25 * 3
= 75
Therefore, the simplified expression is 75.
