Question

(x^-2/3 × x^5/3)/x^3/5

Answer 1

Фоточка тебе в помощь

Answer 2

To simplify the expression $\frac{x^{-2/3} \times x^{5/3}}{x^{3/5}}$, we can use the properties of exponents. When dividing expressions with the same base, you subtract the exponents:

$x^a \div x^b = x^{a-b}$

Let's simplify the given expression step by step:

Step 1: Apply the division property $\frac{x^{-2/3} \times x^{5/3}}{x^{3/5}} = x^{(-2/3 + 5/3) - 3/5}$

Step 2: Combine the exponents $x^{(3/3) - 3/5} = x^{(5/3) - 3/5}$

Step 3: Find a common denominator for the exponents The common denominator for 3 and 5 is 15.

$x^{(5/3) - 3/5} = x^{\frac{5 \times 5}{3 \times 5} - \frac{3 \times 3}{5 \times 3}} = x^{\frac{25}{15} - \frac{9}{15}}$

Step 4: Subtract the exponents $x^{\frac{25}{15} - \frac{9}{15}} = x^{\frac{16}{15}}$

So, the simplified expression is $x^{\frac{16}{15}}$.