Question

1)(X^5)^3. 2)x^9/x^4

Answer 1

Задание решено..............

Answer 2

По свойству степеней, при возведении степени в степень, показатели перемножаются. При делении степеней с одинаковым основанием показатели вычитаются. Тогда:
1) (х^5)^3 = х^(5 * 3) = х^15
2) х^9 / х^4 = х^(9 - 4) = х^5

Answer 3

1) (X^5)^3: To simplify this expression, we need to apply the exponent rules. When you raise an exponent to another exponent, you multiply the exponents. In this case, we have (X^5)^3.

To simplify (X^5)^3, we multiply the exponents: 5 * 3 = 15. So, (X^5)^3 can be written as X^15.

Therefore, the answer to (X^5)^3 is X^15.

2) x^9/x^4: To simplify this expression, we need to apply the quotient rule of exponents. According to the quotient rule, when you divide two terms with the same base, you subtract the exponents. In this case, we have x^9 divided by x^4.

Using the quotient rule, we subtract the exponents: 9 - 4 = 5. So, x^9/x^4 can be written as x^5.

Therefore, the answer to x^9/x^4 is x^5.

To summarize: 1) (X^5)^3 simplifies to X^15. 2) x^9/x^4 simplifies to x^5.