Question

15 ^ 2/3 *3 ^2/3 / 5^-1/3

Answer 1

Если я правильно понял условие, то:
$15^{\frac{2}{3}} * 3^{\frac{2}{3}} : 5^{-\frac{1}{3}} = 15^{\frac{2}{3}} * 3^{\frac{2}{3}} * 5^{\frac{1}{3}} = 5^{\frac{2}{3}} * 3^{\frac{2}{3}} * 3^{\frac{2}{3}} * 5^{\frac{1}{3}} = 5^{1} * 3^{\frac{4}{3}} =$
$=5 * 3 * 3^{\frac{1}{3}} = 15* 3^{\frac{1}{3}}$

Answer 2

Решение во вложенном файле

Answer 3

To simplify the expression, let's break it down step by step.

1. Let's start by simplifying each term separately:

   • 15^(2/3) = (15^2)^(1/3) = 225^(1/3) = 5
   • 3^(2/3) = √(3^2) = √9 = 3
   • 5^(-1/3) = 1/(5^(1/3))

2. Now, let's substitute the simplified values back into the expression: 5 * 3 / (1/(5^(1/3)))

3. We can simplify the expression further by multiplying 5 and 3: 15 / (1/(5^(1/3)))

4. To divide by a fraction, we can multiply by its reciprocal: 15 * (5^(1/3))

5. Finally, let's evaluate the expression: 15 * (5^(1/3)) ≈ 15 * 1.71 ≈ 25.65

Therefore, 15^(2/3) * 3^(2/3) / 5^(-1/3) is approximately equal to 25.65.