Question

3^4*5^4________15^3​

Answer 1

Ответ:

Объяснение:

3⁴*5⁴/15³=(3*5)⁴/15³=15⁴/15³=15⁽⁴⁻³⁾=15¹=15.

Answer 2

To simplify the expression, we can use the rules of exponents. Specifically, we can use the fact that:

a^m * a^n = a^(m+n)

Therefore, we have:

3^4 * 5^4 = (3 * 3 * 3 * 3) * (5 * 5 * 5 * 5) = 3^4 * 5^4 = 3^4 * 5^4 * 1^3 (since 1^3 = 1) = 3^4 * 5^4 * (3 * 5 * 1)^(-3) (since 3 * 5 * 1 = 15) = 3^4 * 5^4 * 15^(-3) = (3 * 5^2)^4 * 15^(-3) = (75)^4 * 15^(-3)

So the expression simplifies to (75)^4 * 15^(-3).