Question

A ^2/3 * x ^3/5 * a ^3/4 * x ^2/3

Answer 1

Ответ:

a ^2/3 * x ^3/5 * a ^3/4 * x ^2/3=a^17/12 x^19/15=$\sqrt[12]{a^{17} } \sqrt[15]{x^{19} }$=$\sqrt[60]{a^{85} } \sqrt[60]{x^{76} }$=$\sqrt[60]{a^{85} x^{76} }$=ax$\sqrt[60]{a^{25}x^{16} }$

Пошаговое объяснение:

Answer 2

The expression you've provided is a combination of variables and exponents. To simplify it, you can use the rules of exponents, which involve multiplying the coefficients and adding the exponents when you have like terms.

The expression is:

A^(2/3) * x^(3/5) * a^(3/4) * x^(2/3)

Let's simplify it step by step:

1. Multiply the coefficients: 1 * 1 * 1 * 1 = 1

2. For the variable 'A,' add the exponents: 2/3

3. For the variable 'x,' add the exponents: 3/5 + 2/3

4. For the variable 'a,' add the exponents: 3/4

Now, simplify each of the exponent expressions:

2/3 is already in its simplest form.

For x: 3/5 + 2/3 = (3/5) * (3/3) + (2/3) * (5/5) = 9/15 + 10/15 = 19/15

For a: 3/4 is already in its simplest form.

So, the simplified expression is:

1 * A^(2/3) * x^(19/15) * a^(3/4)

This is the final simplified expression.