Question

(-3х²)³2х³54х⁹, -24х⁸, 24х⁸, -54х⁹​

Answer 1

Раскроем скобки и найдем значение выражения:

$(-3x^{2} )^{3} *2x^{3} =-27x^{6} *2x^{3} =-54x^{9}$

Ответ: $-54x^{9}$.

Answer 2

To simplify the expression (-3x²)³2x³54x⁹, we can start by expanding the cube of (-3x²):

(-3x²)³ = (-3x²) * (-3x²) * (-3x²)

Multiplying the coefficients: -3 * -3 * -3 = -27

Multiplying the variables: x² * x² * x² = x⁶

So, (-3x²)³ simplifies to -27x⁶.

Now, let's simplify the entire expression:

(-27x⁶) * (2x³) * 54x⁹ = -27 * 2 * 54 * x⁶ * x³ * x⁹

Multiplying the coefficients: -27 * 2 * 54 = -2916

Multiplying the variables: x⁶ * x³ * x⁹ = x^(6+3+9) = x¹⁸

Putting it all together, the simplified expression is:

-2916x¹⁸

As for the other expressions:

-24x⁸ remains the same.

24x⁸ remains the same.

-54x⁹ remains the same.