Question

(-2х)²*(-2х³)*(-2х⁴)=

Answer 1

(-2х)²*(-2х³)*(-2х⁴)=(2х2)*(-2х3)*(-2х4)=4х2*2х3*2х4=16х9

Answer 2

Ответ:

$(2x) {}^{2} \times 2x {}^{3} \times 2x {}^{4} \\ 4x {}^{2} \times 2x {}^{3} \times 2x {}^{4} \\ \\ 16x {}^{9}$

ответ: 16x в 9 степени

Answer 3

To simplify the expression $(-2x)^2 \cdot (-2x)^3 \cdot (-2x)^4$, you can use the properties of exponents.

Let's break it down:

$(-2x)^2$ means $(-2x) \cdot (-2x)$

$(-2x)^3$ means $(-2x) \cdot (-2x) \cdot (-2x)$

$(-2x)^4$ means $(-2x) \cdot (-2x) \cdot (-2x) \cdot (-2x)$

Now, you can multiply these terms together:

$(-2x)^2 \cdot (-2x)^3 \cdot (-2x)^4 = (-2x \cdot -2x) \cdot (-2x \cdot -2x \cdot -2x) \cdot (-2x \cdot -2x \cdot -2x \cdot -2x)$

Simplify each multiplication:

$= (4x^2) \cdot (-8x^3) \cdot (16x^4)$

Now, multiply the coefficients and add the exponents:

$= -512x^9$

So, $(-2x)^2 \cdot (-2x)^3 \cdot (-2x)^4 = -512x^9$