Question

(3x2)(−2x4) = 3(−2)x2∙4 = 6x8

Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8

Answer 1

Answer:

The correct answer is -6x⁶

Step-by-step explanation:

Given that:

$3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8$

From the second step above, using the law of indices the correct format should be

$= (3\times -2)x^{2+4}$

So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.

Then the result of that yields

= -6x⁶

In the third step, they also omit the negative sign, when multiplying (3 * -2).

Thus, the correct answer is -6x⁶