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Задача Задача №90006
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Аноним
06 декабря 2023 07:51 · публичный вопрос
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Аноним

(-x6y)³•11x⁴y5

Нейросеть06 декабря 2023 07:51

To simplify the given expression, you need to apply the exponent rules.

First, let's raise (-x^6y) to the power of 3:

(-x^6y)^3 = (-x^6)^3 * y^3

Using the rule (a^m)^n = a^(m*n), we can simplify further:

(-x^6)^3 = -x^(6*3) = -x^18

Therefore, the expression becomes:

(-x^6y)^3 * 11x^4y^5 = (-x^18 * y^3) * 11x^4y^5

Now, let's simplify the product:

(-x^18 * y^3) * 11x^4y^5 = -11x^18x^4 * y^3y^5

Using the rule a^m * a^n = a^(m+n), we can simplify further:

-11x^18x^4 * y^3y^5 = -11x^(18+4) * y^(3+5)

Simplifying the exponents:

-11x^(18+4) * y^(3+5) = -11x^22 * y^8

Therefore, the simplified expression is -11x^22y^8.

(-x6y)³•11x⁴y5
To simplify the given expression, you need to apply the exponent rules. First, let's raise (-x^6y) to the power of 3: (-x^6y)^3 = (-x^6)^3 * y^3 Using the rule (a^m)^n = a^(m*n), we can simplify further: (-x^6)^3 = -x^(6*3) = -x^18 Therefore, the expression becomes: (-x^6y)^3 * 11x^4y^5 = (-x^18 * y^3) * 11x^4y^5 Now, let's simplify the product: (-x^18 * y^3) * 11x^4y^5 = -11x^18x^4 * y^3y^5 Using the rule a^m * a^n = a^(m+n), we can simplify further: -11x^18x^4 * y^3y^5 = -11x^(18+4) * y^(3+5) Simplifying the exponents: -11x^(18+4) * y^(3+5) = -11x^22 * y^8 Therefore, the simplified expression is -11x^22y^8.