Question

9x²\y³:6x⁴\y^5 ^ степень

Answer 1

3(y^2)/2(x^2) ну вроде так

Answer 2

9x^2/y^3 ÷ 6x^4/y^5

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9x^2 / y^3 × y^5/6x^4

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3× y^2/2x^2

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3y^2/2x^2

Answer 3

To simplify the expression (9x²y³) / (6x⁴y⁵) raised to the power of a certain exponent, we can follow these steps:

Step 1: Simplify the division inside the parentheses. Step 2: Determine the exponent of the entire expression.

Step 1: To simplify the division, we subtract the exponents of the like terms in the denominator from the exponents in the numerator:

9x²y³ / 6x⁴y⁵ = (9/6) * (x²/x⁴) * (y³/y⁵)

Step 2: Now we have the simplified expression (3/2) * (1/x²) * (1/y²). To raise this expression to a certain exponent, let's say n, we simply raise each term to the power of n:

(3/2)^n * (1/x²)^n * (1/y²)^n

To further simplify, we apply the rule of exponents: (a^m)^n = a^(m*n).

(3/2)^n * 1^(n) * 1^(n) / x^(2n) * y^(2n)

Since any number raised to the power of zero is 1, we can simplify further:

(3/2)^n / x^(2n) * y^(2n)

So, the expression (9x²y³) / (6x⁴y⁵) raised to the power of n is (3/2)^n / x^(2n) * y^(2n).