Question

(3x^2y)^3 * 5y^7 привести к стандартному виду.

Answer 1

(3x^2y)^3 * 5y^7 =27x^(2*3)y^3*5y^7=115*x^6*y10

Answer 2

To simplify the expression and put it in standard form, we need to apply the power rule and perform the multiplication. Here's the step-by-step process:

1. Apply the power rule to the first term: (3x^2y)^3 = 3^3 * (x^2)^3 * y^3 = 27 * x^(2*3) * y^3 = 27x^6y^3

2. Now multiply the result from step 1 by the second term: 27x^6y^3 * 5y^7

3. To simplify further, apply the power rule for multiplying like terms with the same base: 27 * 5 * x^6 * y^(3+7) = 135x^6y^10

So, the expression (3x^2y)^3 * 5y^7 in standard form is 135x^6y^10.